Matias Leoni
We consider the irrelevant flow of classical Liouville field theory driven by the $T\bar T$ operator. After discussing properties of its exact action and equation of motion we construct an infinite set of conserved currents. We also find its vacuum solutions.
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We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized scattering matrices for different integrable perturbed conformal field theories. The perturbation theory, Bethe ansatz technique, renormalization group and methods of perturbed conformal field theory are applied to show that all integrable deformations of sine-Liouville model possess non-trivial duality properties.
We reformulate the Omega-deformation of four-dimensional gauge theory in a way that is valid away from fixed points of the associated group action. We use this reformulation together with the theory of coisotropic A-branes to explain recent results linking the Omega-deformation to integrable Hamiltonian systems in one direction and Liouville theory of two-dimensional conformal field theory in another direction.
Dangerous Liouville Wave -- exactly marginal but non-conformal deformation
给出了尺度不变但非共形场论的一个非平凡相互作用场论例子。该模型是基于精确可解的刘维尔场论与自由标量变形的精确边缘算子。我们利用Liouville场论的量子Schwinger-Dyson方程证明了能量动量张量迹的非零性，该方程是Alyosha Zamolodchikov引入的Liouville场论的量子高级运动方程的改进.超临界弦论的潜在危险也将被讨论。
Non-compact Mirror Bundles and (0,2) Liouville Theories
研究了N=2的Liouville场论的（0，2）形变及其镜像对偶性.紫外线理论的规范线性西格玛模型构造将Liouville场论的（0，2）变形和N=2 SL（2，R）/U（1）陪集模型的（0，2）变形作为镜像对偶联系起来。我们从规范线性西格玛模型提出的对偶性建议与精确的CFT分析完全一致。在杂化弦紧化的背景下，变形对应于引入非平凡规范丛。这种非紧Landau-Ginzburg构造为研究非紧Calabi-Yau流形的规范丛模提供了一种新的方法。
Equivalence of BRST cohomologies for 2-d black hole and c=1 Liouville theory
研究了$SL(2,R)/U(1)$黑洞与$c=1$ Liouville理论之间的关系。一个变形，这两个模型的BRST算子插值，明确构建。这种插值是同构的，并且黑洞的物理谱等价于由拓扑$U(1)/U(1)$模型张量的$c=1$模型的物理谱。变形的一些影响进行了讨论。
A Note on the $c=1$ Barrier in Liouville Theory
刘维理论耦合到$c>1$物质场的不稳定性，即使在“尖峰”，代表高度奇异的几何形状被允许以自然的方式相互作用时，仍然存在。
The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background
研究了AdS_3空间中N点弦的散射振幅。基于最近对KZ和BPZ型微分方程解的观察，我们讨论了如何将AdS_3中的弦论描述为背景上（平坦）线性弦的边缘变形.这种表示类似于所谓的“离散光锥刘维”实现以及FZZ对偶描述的正弦刘维场论。因此，这些之间的联系和区别和这种实现进行了讨论。这里提出的自由场表示允许以一种非常简单的方式理解刘维和WZNW理论中的双折射子之间的关系。在这个框架下，我们讨论了洛伦兹AdS_3中弦的谱和相互作用。
We consider a gravitational perturbation of the Jackiw-Teitelboim (JT) gravity with an arbitrary dilaton potential and study the condition under which the quadratic action can be seen as a $T\bar{T}$-deformation of the matter action. As a special case, the flat-space JT gravity discussed by Dubovsky et al[arXiv:1706.06604 ] is included. Another interesting example is a hyperbolic dilaton potential. This case is equivalent to a classical Liouville gravity with a negative cosmological constant and then a finite $T\bar{T}$-deformation of the matter action is realized as a gravitational perturbati…
Liouville strings in AdS$_3$: the worldsheet story
研究 AdS₃ 中弦的世界面 σ - 模型，通过与含背景电荷的类时场耦合的刘维尔场论及边际变形来等效描述，探讨其与对偶变形 orbifold CFT₂ 刘维尔型描述的异同，半经典极限下刘维尔因子中心荷趋于对偶 CFT₂ 的中心荷。
Poisson Structure and Moyal Quantisation of the Liouville Theory
从SL（2，R）WZNW理论的辛形式出发，通过规范不变哈密顿约化，导出了Liouville理论的辛结构和Poisson结构。给出了Liouville场的因果非等时Poisson括号。利用刘维尔理论的对称性，构造了手征场的符号，并计算了它们的 *-乘积。给出了与正则量子化结果一致的量子形变和非等时换位子。
Deforming the Double Liouville String
本文推广双刘维尔理论，计算形变后VMS和CLS球面配分函数至耦合常数三阶，发现两者领头阶差异源于椭圆函数，并讨论其在相关模型中的意义。
Boundary Action of N=2 Super-Liouville Theory
通过显式地引入$T={\bar T}$和$G={\bar G}$，我们得到了N = 2超Liouville理论的一个边界作用量，它同时保持了N=2超对称性和共形对称性.由此产生的边界作用量表现出一种新的对偶对称性。
Flowing Between String Vacua for the Critical Non-Abelian Vortex with Deformation of N=2 Liouville theory
本文在 N=2 SQCD 中引入夸克质量形变，通过形变世界面 N=2 Liouville 理论的有效超引力方程描述涡旋弦真空从 U(2), $N_f=4$ 到 U(4), $N_f=8$ 的流动，并指出强子能谱与 Calogero 问题相关。
Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography
利用与群作用相关的同调和上同调二重复形，严格定义了纯斜驶拟富克斯群的Liouville作用泛函.证明了Liouville作用泛函的经典作用量--作为拟Fuchsian变形空间上的函数的Liouville作用泛函的临界点是由Fuchsian和拟Fuchsian射影联络的差给出的1-形式的反导数.这一结果可以被认为是全局的拟Fuchsian互易性，它隐含了McMullen的拟Fuchsian互易性。我们证明了经典作用量是Weil-Petersson度量的Kahler势。我们还证明了Liouville作用泛函满足全息原理，即，它是与拟富克斯群相关的三维流形的双曲体积的正则化极限。我们将这些结果推广到一个大类的Kleinian群，包括生成的，纯斜驶Schottky和拟富克斯群和它们的自由组合。
We propose that N M5-branes, put on R^4/Z_m with deformation parameters epsilon_{1,2}, realize two-dimensional theory with SU(m)_N symmetry and m-th para-W_N symmetry. This includes the standard W_N symmetry for m=1 and super-Viraroro symmetry for m=N=2. We provide a small check of this proposal by calculating the central charge of the 2d theory from the anomaly polynomial of the 6d theory.
Elastic stiffness of three-dimensional black holes and wormholes from Liouville line defects
研究AdS₃引力中薄壳黑洞和虫洞弹性变形，通过计算配分函数二次响应定义刚度核，在半经典极限下计算算符谱，还给出刚度核洛伦兹解释及对黑洞微观态统计和熵的影响。
Quantum deformations of $sl(2)$: The hard core of two dimensional gravity
本文评述了刘维尔理论的量子群结构，指出它是解决刘维尔理论的一个重要工具。
RG Flows from Super-Liouville Theory to Critical Ising Model
我们研究了超Liouville理论的可积变形，它产生一个RG流到临界伊辛模型作为IR不动点。该模型是一个具有自发破缺N=1超对称性的超对称sinh-Gordon模型。由此产生的无质量的Goldstino是唯一稳定的控制红外行为的壳粒子。我们提出了精确的$S$ -矩阵的Goldstino和比较相关的热力学Bethe anomaly方程的量子化条件来自反射振幅的超刘维尔理论提供非微扰检查（NS）和（R）部门。
Deformed Type 0A Matrix Model and Super-Liouville Theory for Fermionic Black Holes
我们考虑一个在费米黑洞背景下的${\hat c}=1$模型。为此，我们考虑一个模型，其中包含N=1和N=2的超刘维尔相互作用。我们认为这个模型是最近提出的具有涡旋变形的0A型矩阵量子力学模型的对偶。我们支持我们的猜想表明，非微扰校正的自由能计算的矩阵模型和超级刘维理论同意完全通过治疗N=2的相互作用作为一个小扰动。当N=1相互作用变小时，由变形0A型矩阵模型计算的球上两点函数与N=2超刘维尔理论的结果一致.这种矩阵模型和超刘维理论之间的对偶性导致了球面上N=1超刘维理论的任意$n$点关联函数的猜想。
The closed string dynamics in $\rr^{1,2}$ and $SL(2,\rr)$ is studied within the scheme of Pohlmeyer reduction. In both spaces two different classes of string surfaces are specified by the structure of the fundamental quadratic forms. The first class in $\rr^{1,2}$ is associated with the standard lightcone gauge strings and the second class describes spiky strings and their conformal deformations on the Virasoro coadjoint orbits. These orbits correspond to singular Liouville fields with the monodromy matrixes $\pm I$. The first class in $SL(2,\rr)$ is parameterized by the Liouville fields with …
$T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry
本文利用随机几何方法，通过推导$T\ar{T}$形变对Polyakov-Liouville共形反常作用量的形变，计算了二维$T\ar{T}$形变共形场论中的应力-张量关联函数，并揭示了四点函数中开始出现的对数修正特征。
We consider a four-dimensional theory in the z=3 Lifshitz context, with an exponential (Liouville) potential. We determine the exact renormalized potential of the theory and derive the non-perturbative relation between the renormalized and bare couplings. In addition, we show that Lorentz symmetry is naturally generated by quantum fluctuations in the infrared regime, and conclude that the model can be relevant to High Energy Physics.
Liouville gravity at the end of the world: Deformed defects in AdS/BCFT
该研究推导了三维体时空中二维ETW膜形变的作用量，发现膜上诱导理论为耦合量子物质的Liouville引力，其特定极限对应JT引力，建立了双全息三重性，并证明全息BCFT的Ryu-Takayanagi公式存在接触项修正。
Three-dimensional Black Holes and Liouville Field Theory
提出了负宇宙学常数的（2+1）维引力的量子化，并由此研究了（2+1）维黑洞的量子性质.量化包括两个过程。一个与渐近Virasoro对称性的量子化有关。引入了三维几何的Virasoro变形的概念。对于一个给定的黑洞，外视界外部的变形被确定为Virasoro群$\hat{diff S^1}_{\pm}$的适当的共伴轨道的乘积。它的量子化提供了维拉索罗代数的酉不可约表示，在这个代数中黑洞的状态成为主要的。为了使量子化完全，考虑了整体自由度。通过识别这些具有刘维尔场的零模的拓扑算子，就$c \gg 1$而言，上述酉表示揭示了这个二维共形场论的希尔伯特空间。这种存在于黑洞无穷远柱体上的具有连续谱的共形场论，只能将外视界看作是$SL_2({\bf R})$中的一维物体，并将其实现为相应顶点算子的插入。因此它不可能是视界上的共形场论。提出了视界共形场论的两种可能的描述。
We study non-perturbative quantum aspects of $T\bar{T}$-deformation of a free $O(N)$ vector model by employing the large $N$ limit. It is shown that bound states of the original field appear and inevitably become negative-norm states. In particular, the bound states can be regarded as the states of the conformal mode in a gravitational theory, where the Liouville action is induced with the coefficient proportional to the minus of central charge. To make the theory positive-definite, some modification is required so as to preserve diffeomorphism invariance due to the Faddeev-Popov ghosts with a…
We explore the $J\bar{T}$ and $T\bar{J}$ deformations of two-dimensional field theories possessing $\mathcal N=(0,1),(1,1)$ and $(0,2)$ supersymmetry. Based on the stress-tensor and flavor current multiplets, we construct various bilinear supersymmetric primary operators that induce the $J\bar{T}/T\bar{J}$ deformation in a manifestly supersymmetric way. Moreover, their supersymmetric descendants are shown to agree with the conventional $J\bar T /T\bar J$ operator on-shell. We also present some examples of $J\bar T /T\bar J$ flows arising from the supersymmetric deformation of free theories. Fi…
We make some observations connecting non-relativistic limits of string theory with $T\bar T$ deformations and TsT transformations.
In this paper, we shed new light onto $T\bar{T}$-deformations by engineering them on 2D surface defects, supporting chiral and antichiral CFT's, in a 4D Chern-Simons bulk. This approach is motivated by various connections between $T\bar{T}$-deformations, gravity and Chern-Simons theory and suggests that the formalism developed in this paper and the gravity picture of $T\bar{T}$-deformations should be closely related.
Very special $T\bar{J}$ deformations of a conformal field theory are irrelevant deformations that break the Lorentz symmetry but preserve the twisted Lorentz symmetry. We construct a holographic description of very special $T\bar{J}$ deformations. We give a holographic recipe to study the double trace as well as single trace deformations. The former is obtained from the change of the boundary condition while the latter is obtained from the change of the supergravity background.
A common limit of super Liouville theory and minimal models
我们证明了N=1超对称刘维理论可以延拓到中心荷c=3/2，并且极限非有理超共形场论也可以作为超对称极小模型的极限得到。这推广了已知的非超对称情况下的结果。我们给出了体场三点函数的显式表达式，以及一组超共形边界态。取极小模型极限的主要技术成分在于确定结构常数的解析表达式。在附录中，我们详细说明了如何超对称和Virasoro极小模型的结构常数可以重写巴恩斯的双伽玛函数。
In this paper, we continue the study of $T\bar{T}$ deformation in $d=1$ quantum mechanical systems and propose possible analogues of $J\bar{T}$ deformation and deformation by a general linear combination of $T\bar{T}$ and $J\bar{T}$ in quantum mechanics. We construct flow equations for the partition functions of the deformed theory, the solutions to which yields the deformed partition functions as integral of the undeformed partition function weighted by some kernels. The kernel formula turns out to be very useful in studying the deformed two-point functions and analyzing the thermodynamics of…
We discuss some aspects of Liouville field theory, starting from operator equation of motion in presence of two screening charges and re-derive the dual zero mode Schwinger Dyson equations for the two screening charges from the path integral. Using functional methods we show the familiar pole structure of Liouville correlation function using the partition function. Next we discuss a generalized structure of the correlation functions obtained from the zero mode functional equations. From this structure we infer the use of the Barnes double Gamma functions to construct a part of the denominator …
We consider the problem of exact integration of the $T\bar{T}$-deformation of two dimensional quantum field theories, as well as some higher dimensional extensions in the form of $\det T$-deformations. When the action can be shown to only depend algebraically on the background metric the solution of the deformation equation on the Lagrangian can be given in closed form in terms of solutions of the (extended) Burgers' equation. We present such examples in two and higher dimensions.
We study the holographic entanglement entropy of an interval in a quantum field theory obtained by deforming a holographic two-dimensional conformal field theory via a general linear combination of irrelevant operators that are closely related to, but nonetheless distinct from, $T{\bar T}, \ J{\bar T}$ and $T{\bar J}$, and compute the Casin-Huerta entropic $c$-function. We find that the entropic $c$-function is ultraviolet regulator independent, and along the renormalization group upflow towards the ultraviolet, it is non-decreasing. We show that the entropic $c$-function exhibits a power law …
We consider current-current deformations that generalise $T\bar{T}$ ones, and show that they may be also introduced for integrable spin chains. In analogy with the integrable QFT setup, we define the deformation as a modification of the S matrix in the Bethe equations. Using results by Bargheer, Beisert and Loebbert we show that the deforming operator is composite and constructed out of two currents on the lattice; its expectation value factorises like for $T\bar{T}$. Such a deformation may be considered for any combination of charges that preserve the model's integrable structure.
We show that the two-dimensional $N=(2,2)$ Volkov-Akulov action that describes the spontaneous breaking of supersymmetry is a $T\bar{T}$ deformation of a free fermionic theory. Our findings point toward a possible relation between nonlinear supersymmetry and $T \bar T$ flows.
We point out that negative specific heat at high energies is a characteristic feature of many TT-bar deformations, both in the original d = 2 case and in d = 1 quantum mechanical cousins. This note is a contribution to the memorial volume in honor of P. G. O. Freund.
We investigate the "$T\bar{T}$" deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the $T\bar{T}$ deforming operator can be constructed as a supersymmetric descendant. Here we focus on $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetry. As an example, we analyse in detail the $T\bar{T}$ deformation of a free $\mathcal{N}=(1,0)$ supersymmetric action. We also argue that the link between $T\bar{T}$ and string theory can be extended to superstrings: by analysing the light-c…
In this paper, we present our study on the $T\bar{T}$-deformation of non-relativistic complex scalar field theory. We find the closed form of the deformed Lagrangian by using the perturbation and the method of characteristics. Furthermore we compute the exact energy spectrum of the deformed free theory by using the Brillouin-Wigner perturbation theory in an appropriate regularization scheme.
We study a toy model of the Kerr/CFT correspondence using string theory on AdS$_3 \times S^3$. We propose a single trace irrelevant deformation of the dual CFT generated by a vertex operator with spacetime dimensions (2,1). This operator shares the same quantum numbers as the integrable $T\bar{J}$ deformation of two-dimensional CFTs where $\bar{J}$ is a chiral $U(1)$ current. We show that the deformation is marginal on the worldsheet and that the target spacetime is deformed to null warped AdS$_3$ upon dimensional reduction. We also calculate the spectrum of the deformed theory on the cylinder…
We analyse the $T\bar{T}$ deformation of 2d CFTs in a special double-scaling limit, of large central charge and small deformation parameter. In particular, we derive closed formulae for the deformation of the product of left and right moving CFT characters on the torus. It is shown that the $1/c$ contribution takes the same form as that of a CFT, but with rescalings of the modular parameter reflecting a state-dependent change of coordinates. We also extend the analysis for more general deformations that involve $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ simultaneously. We comment on the implication…
We investigate generic n-point correlation functions of conformal field theories (CFTs), with $T\bar{T}$ and $J\bar{T}$ deformations, in terms of the perturbative CFT approach. We systematically obtain the first order correction to the generic correlation functions of CFTs with $T\bar{T}$ or $J\bar{T}$ deformation. We compute the out-of-time ordered correlation function (OTOC) in the Ising model with $T\bar{T}$ or $J\bar{T}$ deformation, which confirms that these deformations do not change the integrable property up to the first order level.
Motivated by $T\bar T$, we introduce and study a wide class of solvable deformations of quantum-mechanical theories. These deformations map the Hamiltonian to a function of itself. We solve these theories by computing all finite-temperature correlation functions of the deformed theory in terms of the correlators of the undeformed theory. Applications to AdS/CFT, SYK, and the Schwarzian theory are considered. We write down the deformed Schwarzian action for an arbitrary Hamiltonian deformation and find that the maximal Lyapunov exponent is unchanged.
In this paper, we investigate the correlation functions of the conformal field theory (CFT) with the $T\bar{T}$ deformation on torus in terms of perturbative CFT approach, which is the extension of the previous investigations on correlation functions defined on a plane. We systematically obtain the first order correction to the correlation functions of the CFTs with $T\bar{T}$ deformation in both operator formalism and path integral language. As a consistency check, we compute the deformed partition function, namely the zero-point correlation function, up to the first order, which is consisten…
Holographic boundary conformal field theory with $T\bar T$ deformation
本文提出 $T\ar T$ 变形边界共形场论的全息对偶，区分边界是否变形两类情形，并用边界熵、能谱及纠缠熵等计算验证对偶关系。
We study the UV dynamics of $μT \bar T$ deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion of the $μ$ expansion by deriving an integral expression using the Fourier/Legendre transform technique, and show that it is more natural to impose Neumann, as opposed to the Dirichlet, boundary condition, for the metric at the cut-off surface recently proposed by McGough, Mezei, and Verlinde. We also comment on interesting connection to boundary conformal field theories.
In the paper, based on recent studies on $T\bar{T}$ deformation of 2D field theory with supersymmetry, we investigate the deformed correlation functions in $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$ 2D superconformal field theories. Up to the leading order in perturbation theory, we compute the correlation functions under $T\bar{T}$ deformation. The correlation functions in these undeformed theories are almost known, and together with the help of superconformal Ward identity in $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$ theories respectively we can obtain the correlation functions with opera…
In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg's model suggested originally to describe the scattering of high energy nucleons (ii) $T\bar T$ deformations of certain canonical scalar field theories with a potential. We find explicit soliton solutions of these models with sine-Gordon and Higgs-type potentials. We prove that the $T\bar T$ deformation of a theory of a given potential does not correct the mass of the soliton of the undeformed one. We further conjecture the form of breather solutions of these …
In recent years, there have been two independent but related developments in the study of irrelevant deformations in two dimensional quantum field theories (QFTs). The first development is the deformation of a two dimensional QFT by the determinant of the energy momentum stress tensor, commonly referred to as $T{\bar T}$ deformation. The second development is in two dimensional holographic field theories which are dual to string theory in asymptotically Anti-de Sitter (AdS) spacetimes. In this latter development, the deformation is commonly referred to as single-trace $T{\bar T}$ deformation. …
In this letter, we investigate the deformation of the ModMax theory, as a unique Lagrangian of non-linear electrodynamics preserving both conformal and electromagnetic-duality invariance, under $T\bar{T}$-like flows. We will show that the deformed theory is the generalized non-linear Born-Infeld electrodynamics. Being inspired by the invariance under the flow equation for Born-Infeld theories, we propose another $T\bar{T}$-like operator generating the ModMax and generalized Born-Infeld non-linear electrodynamic theories from the usual Maxwell and Born-Infeld theories, respectively.
We study the $T\bar{T}$ deformation of the chiral bosons and show the equivalence between the chiral bosons of opposite chiralities and the scalar fields at the Hamiltonian level under the deformation. We also derive the deformed Lagrangian of more generic theories which contain an arbitrary number of chiral bosons to all orders. By using these results, we derive the $T\bar{T}$ deformed boundary action of the AdS$_3$ gravity theory in the Chern-Simons formulation. We compute the deformed one-loop torus partition function, which satisfies the $T\bar{T}$ flow equation up to the one-loop order. F…
Geometric formulation of generalized root-$T\bar{T}$ deformations
本研究构建通用几何形式体系，将$T\ar{T}$类与根-$T\ar{T}$类形变纳入任意维度框架，拓展相关引力对偶性，还得到平直Jackiw-Teitelboim引力作用量的形变形式。
We find the most general solution to Chern-Simons AdS$_3$ gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection. We define a variational principle for Dirichlet boundary conditions and find the boundary stress tensor in the Chern-Simons formalism. Using this variational principle as the departure point, we show how to treat other choices of boundary conditions in this formalism, such as, including the mixed boundary conditions corresponding to a $T \bar T$-deformat…
We investigate the behaviour of two-dimensional quantum field theories with $\mathcal{N}=(0,2)$ supersymmetry under a deformation induced by the `$T\bar{T}$' composite operator. We show that the deforming operator can be defined by a point-splitting regularisation in such a way as to preserve $\mathcal{N}=(0,2)$ supersymmetry. As an example of this construction, we work out the deformation of a free $\mathcal{N}=(0,2)$ theory and compare to that induced by the Noether stress-energy tensor. Finally, we show that the $\mathcal{N}=(0,2)$ supersymmetric deformed action actually possesses $\mathcal…
Super $T\bar{T}$ deformation and the RNS non-critical superstring
本文回顾了超空间形式中 $\mathcal{N}=(1,1)$ 理论的超 $T\bar{T}$ 形变，并结合非临界弦理论解释，通过超空间方法与超黎曼面概念，证明超 $T\bar{T}$ 形变可自然解释为非临界 RNS 超弦理论，并提出通过场重定义将其解释为超空间中的二维超引力。
We consider the weighted average of a two dimensional CFT, whose target space is $T^2$, over its Narain moduli space. We take as the weighing function the integral kernel which gives rise to $T \bar T$ deformation when applied to the world sheet moduli data of the partition function viewed as vacuum amplitude when the world sheet is a torus. We compute the smeared partition function where this kernel is applied to the target space moduli. Smearing the partition function over the parameter space of a field theory generally leads to the breakdown in the ability to write the partition function as…
The Skyrme model, though it admits correctly a wide range of static properties of the nucleon, does not seem to reproduce properly the scattering behavior of nucleons at high energies. In this paper we present a $T\bar T$-like deformation of it, inspired by a 1+1 dimensional model, in which boosted nucleons behave like shock waves. The scattering of the latter saturates the Froissart bound. We start by showing that 1+1 dimensional $T\bar T$ deformations of the free abelian pion action are in fact generalizations of the old Heisenberg model for nucleon-nucleon scattering, yielding the same satu…
From black holes to solvable irrelevant deformations and back
本文探讨了Kerr/CFT对应关系与二维量子场论中可解无关变形之间的联系，分析了T\ar T和J\ar T变形的对称性及其在黑洞微观结构研究中的应用。
We consider KdV currents in a quantum field theory obtained by deforming a two dimensional conformal field theory on a cylinder via the irrelevant operator $T{\bar T}$. In this paper we determine their one-point functions modular properties. We find that the one-point functions factorize into two components each with a definite modular weight. We also obtain a general differential equation that the generalized torus partition sum satisfies.
The relationship between $T\bar{T}$ deformations and the uniform light-cone gauge, first noted in arXiv:1804.01998, provides a powerful generating technique for deformed models. We recall this construction, distinguishing between changes of the gauge frame, which do not affect the theory, and genuine deformations. We investigate the geometric interpretation of the latter and argue that they affect the global features of the geometry before gauge fixing. Exploiting a formal relation between uniform light-cone gauge and static gauge in a T-dual frame, we interpret such a change as a TsT transfor…
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