Carlos Cardona
We propose a state from the two-dimensional conformal field theory on the orbifold $(T^4)^N/S(N)$ as a dual description for a pulsating string moving in $AdS_3$. We show that, up to first order in the deforming parameter, the energy in both descriptions has the same dependence on the mode number, but with a non-trivial function of the coupling.
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According to AdS/CFT duality semi-classical strings in the Schrödinger spacetime is conjectured to be a holographic dual to dipole CFT. In this paper we consider pulsating strings in five-dimensional Schrödinger space times five-sphere. We have found classical string solutions pulsating entirely in the Schrödinger part of the background. We quantize the theory semi-classically and obtain the wave function of the problem. We have found the corrections to the energy, which by duality are supposed to give anomalous dimensions of certain operators in the dipole CFT.
Using the WKB approximation we analyse the tunnelling of a pulsating string in deformed Minkowski spacetime.
This is a brief summary on pulsating strings in beta deformed backgrounds found recently.
The quest for extension of holographic correspondence to non-relativistic sectors naturally includes Schrödinger backgrounds and their field theory duals. In this paper we study the holography by probing the correspondence with pulsating strings. The case we consider is pulsating strings in five-dimensional Schrödinger space times five-torus $T^{1,1}$, which has as field theory dual a dipole CFT. First we find particular pulsating string solutions and then semi-classically quantize the theory. We obtain the wave function of the problem and thoroughly study the corrections to the energy, which …
Circular Semiclassical String solutions on Confining AdS/CFT Backgrounds
研究了沿AdS黑洞径向脉动的多缠绕圆弦。我们计算这个弦的能量作为一个大的量子数n的函数。人们可以把它与双有限温度{ \cal N}=4 SYM理论以及三维纯规范理论中的能量和量子态数联系起来。我们观察到能量的n依赖性具有普遍形式。我们还考虑了在近极值D4-膜解背景下的脉动弦。我们还研究了AdS_7 \times S^4上M理论中的圆形脉动膜。
We explore nonrelativistic (NR) pulsating string configurations over torsion Newton-Cartan (TNC) geometry having topology $ R \times S^2 $ and check the corresponding analytic integrability criteria following Kovacic's algorithm. In the first part we consider pulsating strings propagating over TNC geometry whose world-sheet theory is described by relativistic CFTs. We compute conserved charges associated with the $ 2D $ sigma model and show that the classical phase space corresponding to these NR pulsating string configurations is Liouvillian integrable. Finally, we consider nonrelativisitc sc…
Pulsating Strings on AdS_5 x S^5
我们发现了在AdS_5上脉动的R-带电弦的反常维数和守恒电荷。分析是在规范和字符串侧，我们发现协议在一个循环的水平。此外，通过解析延拓，该解被证明与在S^5上脉动的弦有关，从而提供了各个等距群之间密切关系的一个例子。
We study the class of pulsating strings on AdS_4 x CP3. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasi-classically quantize the theory and obtain the first corrections to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual N=6 Chern-Simons theory.
Pulsating strings in I-brane background
本文利用Polyakov作用量研究NS5膜与I-brane背景中的脉动弦，借助解耦对称性分析独立及同时脉动解，并给出能量随绝热振荡数变化的关系。
We derive the energy of pulsating strings as a function of adiabatic invariant oscillation number, which oscillates in $S^2_{\varkappa}$. We find similar solutions for the strings oscillating in deformed $AdS_3$. Furthermore, we generalize the result to the oscillating strings in anti-de Sitter space in the presence of extra angular momentum in $(AdS_3 \times S^1)_\varkappa$.
We study the class of pulsating strings on $AdS_5\times T^{1,1}$. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasi-classically quantize the theory and obtain the first corrections to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual ${\cal N}=1$ superconformal field theory.
We study the class of pulsating strings in AdS_5 x T^{1,1}. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we semiclassically quantize the theory and obtain the first correction to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators in the dual N=1 superconformal gauge field theory.
We consider pulsating strings in Lunin-Maldacena backgrounds, specifically in deformed Minkowski spacetime and deformed AdS_5xS^5. We find the relation between the energy and the oscillation number of the pulsating string when the deformation is small. Since the oscillation number is an adiabatic invariant it can be used to explore the regime of highly excited string states. We then quantize the string and look for such a sector. For the deformed Minkowski background we find a precise match with the classical results if the oscillation number is quantized as an even number. For the deformed Ad…
Improved Stability for Pulsating Multi-Spin String Solitons
本文导出并分析了AdS（5）× S（5）中脉动双自旋弦孤子的扰动方程，证明了S（5）中的脉动确实改善了AdS（5）中双自旋弦孤子的稳定性，即脉动越大，所允许的自旋越高，并且仍然是稳定的.
We derive the energy of pulsating string, as function of oscillation number and angular momenta, which oscillates in AdS3 with an extra angular momentum along S1. We find similar solutions for the strings oscillating in S3 in addition to extra angular momentum. Further we generalize the result of the oscillating strings in Anti de-Sitter space in the presence of both spin and angular momentum in AdS5 x S1.
We discuss semiclassical quantization of circular pulsating strings in AdS3 x S3 background with and without the Neveu-Schwarz- Neveu-Schwarz (NS-NS) flux. We find the equations of motion corresponding to the quadratic action in bosonic sector in terms of scalar quantities and invariants of the geometry. The general equations for studying physical perturbations along the string in an arbitrary curved spacetime are written down using covariant formalism. We discuss the stability of these string configurations by studying the solutions of the linearized perturbed equations of motion.
Pulsating string solution and stability in two parameter $χ$-deformed background
本文研究了双参数 $χ$-形变 $\mathcal{R} \times S^2$ 背景下的脉动弦解，推导了短弦极限下的能量-振荡数关系及一阶微扰方程，并分析了单参数形变背景下的稳定性。
Pulsating strings in warped AdS_6 x S^4 geometry
本文考虑弯曲$AdS_6\times S^4$背景中的脉动弦，它是有质量型{ \bf IIA}超弦的真空解。hep-th/0402202中考虑了这种背景下旋转弦的情况，发现结果与$AdS_5\times S^5$中考虑的结果有显著不同。受此结果的启发，我们研究了{ \bf IIA}型几何的翘曲球形部分中的脉动弦，并将结果与hep-th/0209047，hep-th/0310188和hep-th/0404012中的结果进行了比较。最后，我们的解决方案和所获得的修正的能量，扩大到领先的订单在λ的意见。
Spinning Pulsating String Solitons in AdS_5 x S^5
我们指出在AdS_5 × S^5中存在一些简单的弦孤子，它们同时在AdS_5中旋转，在S^5中脉动，或者相反.这在能量与自旋或R-电荷之间的标度关系中引入了一个额外的任意常数。任意常数不是角动量，但可以与脉动的振幅有关。我们详细讨论了解决方案，并考虑的标度关系。脉动多自旋或多R-电荷的解决方案也可以构建。
One of the most important problems in any conformal field theory is the calculation of three-point functions of primary operators. In this paper we provide explicit examples of correlators with two scalar operators in $\,{\cal N}=4$ super-Yang--Mills theory at large $N$, corresponding to pulsating semiclassical strings in AdS$_5\times S^5$, and an operator with small quantum numbers at strong coupling.
We study a general class of spinning pulsating strings in $(AdS_5 \times S^5)_{\varkappa}$ background. For these family of solitons, we examine the scaling relation between the energy, spin or angular momentum. We verify that in $\varkappa \rightarrow 0 $ limit these relations reduce to the undeformed $AdS_5 \times S^5$ case. We further study an example of a string which is spinning in the $\varkappa$-deformed AdS$_5$ and S$^5$ simultaneously and find out the scaling relation among various conserved charges.
In the present paper, which is a sequel to arXiv:1001:4018, we compute the one-loop correction to the energy of pulsating string solutions in AdS_5 x S^5. We show that, as for rigid spinning string elliptic solutions, the fluctuation operators for pulsating solutions can be also put into the single-gap Lame' form. A novel aspect of pulsating solutions is that the one-loop correction to their energy is expressed in terms of the stability angles of the quadratic fluctuation operators. We explicitly study the "short string" limit of the corresponding one-loop energies, demonstrating a certain uni…
Generalized pulsating strings
在本文中，我们考虑脉动弦的新的解决方案。为此目的，我们使用THA的想法，广义animals折叠和圆形字符串在hep-th/0311004。我们找到了所得到的Neumann-Rosochatius可积系统的解和能量修正。为此，我们使用Minahan在hep-th/0209047中开发的方法，并发现校正与该论文和hep-th/0310188中获得的校正完全不同。最后，我们对我们的解决方案的意见，并获得了修正的能量，扩大到领先的订单λ。
Notes on exact solvability for rotating and pulsating strings in nonrelativistic Lifshitz background
本文在非相对论平面 Lifshitz 时空中构造旋转与脉动探针弦的一维可解模型，将其约化为 Neumann-Rosochatius 系统并得到色散关系。
Circular strings pulsating in $AdS_3 \times S^3 \times T^4$ with mixed R-R and NS-NS three-form fluxes can be described by an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical model. In this article we find a general class of pulsating solutions to this integrable system that can be expressed in terms of elliptic functions. In the limit of strings moving in $AdS_{3}$ with pure NS-NS three-form flux, where the action reduces to the $SL(2,\mathbb{R})$ WZW model, we find agreement with the analysis of the classical solutions of the system performed using spectral flow b…
We study the class of pulsating strings in AdS_5 x Y^{p,q} and AdS_5 x L^{p,q,r}. Using a generalized ansatz for pulsating string configurations, we find new solutions for this class in terms of Heun functions, and derive the particular case of AdS_5 x T^{1,1}, which was analyzed in arXiv:1006.1539 [hep-th]. Unfortunately, Heun functions are still little studied, and we are not able to quantize the theory quasi-classically and obtain the first corrections to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual…
In this article the quantum fluctuation of a rigid and static string is reported to be identical to a free quantum particle. Solutions similar to this static string have already been found in the semi-classical quantizaton of pulsating strings, and our results show that the semi-classical quantization of pulsating strings is, in some cases, a perturbation of static strings. We also interpret the energy of the static string as a lower bound for the pulsating string and speculate about a description of quantum mechanics in terms of semi-classical string theory.
Investigating (Non)-Integrability and Pulsating String in D3-Brane Background
本文在AdS/CFT框架下，通过Polyakov作用量研究D3-膜背景中脉动弦的动力学，发现非对易参数增强混沌（由最大李雅普诺夫指数证实），并识别两种弦模式，最后在形变背景中导出短长弦的色散关系。
Handbook on string decay
本研究提出估算平直时空弦谱高激发量子态寿命的半经典规则，涵盖两类衰变模式，通过挤压椭圆弦解验证规则，并给出更一般的4参数旋转脉动椭圆闭合弦解族。
$SL(2,\mathbb{Z})$ invariant action for probe $(m,n)$ string in $AdS_3\times S^3\times T^4$ with mixed three-form fluxes can be described by an integrable deformation of an one-dimensional Neumann-Rosochatius (NR) system. We present the deformed features of the integrable model and study general class of rotating and pulsating solutions by solving the integrable equations of motion. For the rotating string, the explicit solutions can be expressed in terms of elliptic functions. We make use of the integrals of motion to find out the scaling relation among conserved charges for the particular ca…
AdS/CFT Correspondence and Type 0 String Theory
我们回顾了0型弦论在AdS/CFT对应中的一些应用。
Strings in the near plane wave background and AdS/CFT
研究了在Penrose极限下弦态向平面波态流动的AdS/CFT对应。领先的有限半径的弦谱的修正进行了比较有限的R-电荷BMN类运营商的标度尺寸。我们发现弦理论和规范理论的结果之间的协议。
Kinky Strings in AdS_5 x S^5
我们在AdS_5 × S^5的子空间中构造了一族带扭结的闭弦解，并研究了它们的性质.在某些限制下，这些解成为折叠的脉动弦，尽管一般来说它们是由多个脉动矩形组成的。这些解的一个不寻常的特征是它们的单值矩阵是平凡的，导致准动量为零。精确的Backlund变换这些解决方案被发现，再次给消失较高的保守费用。我们还考虑了这些解周围的涨落模以及这些弦的半经典分裂。
Bosonization of Matter $βγ$ CFT, Non-compact Coordinate and Noncritical String Theory
我们考虑一般交换物质$βγ$的超对称玻色化CFT。与通常根据一个标量和一组$ξη$ CFT来描述的常规幽灵$βγ$ CFT玻色化不同，物质$βγ$ CFT自然地玻色化为两个标量CFTs。令人惊讶的是，存在一个独立的子扇区，它满足一致玻色子化所需的约束，而通常的部门有两个紧凑的坐标方面的描述。该分组本身是一个完整的系统，相当于原来的$βγ$ CFT。此外，一个非紧凑的坐标自然出现在这个“非紧凑的分区”。作为一个直接的应用，我们考虑玻色化的物质$βγ$ CFT的背景下，充分的弦论，并找到连接到非临界弦论的光锥规范。
On string backgrounds and (logarithmic) CFT
我们讨论了弦背景和相关的世界片CFTs之间的联系。在寻找新的背景和CFTs时，彭罗斯极限和李代数压缩是重要的工具。Nappi-Witten结构和Bakas和Sfetsos最近发现的对数CFT被认为是例证。我们还推测可能的扩展。
Rotating Strings in Confining AdS/CFT Backgrounds
我们研究半经典旋转弦在AdS/CFT背景下，表现出限制和有限尺寸效应。短弦的能量与自旋色散关系是预期的雷吉轨迹行为，具有与威尔逊圈测量的弦张力相同的弦张力。长弦探测限制效应和有限尺寸效应之间的相互作用。特别是，色散关系的长字符串显示字符串的张力和有限大小的规模的特征依赖。
CFT for Closed String Tachyon Condensation
我们构造了一类描述空间相关闭弦快子背景的CFT，作为其中FI参数提升为超场的GLSM的IR极限。快子凝聚的全过程可用一个连续傅里叶变换描述。我们将这种结构应用于几个例子，其中目标空间发生剧烈变形，并且随着快子凝聚，膨胀子背景可能会发生变化。
AdS/CFT and BPS Strings in Four Dimensions
我们考虑N=2的超共形理论定义在一个3+1维超平面相交的两套M5膜。这些理论具有（无张力）BPS弦孤立子。我们使用一个双超引力公式推导出他们的一些性质，通过AdS/CFT对应。
CFT Correlators from (0,2) Heterotic String
本文证明 (0,2) 杂化弦可计算时空左行与右行对称积 CFT 的关联函数，从而支持此前关于其产生这些 CFT 的论断。
We review basic examples of classical string solutions in AdS5xS5. We concentrate on simplest rigid closed string solutions of circular or folded type described by integrable 1-d Neumann system but mention also various generalizations and related open-string solutions.
Exact Duality Symmetries in CFT and String Theory
与hepth-9211081存在实质性重叠。在非紧情形下给出了对偶性的更多结果。有人认为，在这种情况下，二元性也作为对称性存在。
Strings on AdS_3 x S^3 and the Plane-Wave Limit. Issues on PP-Wave/CFT Holography
在这篇论文中，我们给出了AdS_3 × S^3上玻色弦振幅的显式结果和相应的平面波极限。我们还分析了我们的方法理解全息在这个设置的后果，以及其可能的推广到其他模型。
Using target space null reduction of the Polyakov action we find a novel covariant action for strings moving in a torsional Newton-Cartan geometry. Sending the string tension to zero while rescaling the Newton-Cartan clock 1-form, so as to keep the string action finite, we obtain a non-relativistic string moving in a new type of non-Lorentzian geometry that we call $U(1)$-Galilean geometry. We apply this to strings on $AdS_5 \times S^5$ for which we show that the zero tension limit is realized by the Spin Matrix theory limits of the AdS/CFT correspondence. This is closely related to limits of …
We review the semiclassical analysis of strings in AdS5xS5 with a focus on the relationship to the underlying integrable structures. We discuss the perturbative calculation of energies for strings with large charges, using the folded string spinning in an AdS3 subset of AdS5 as our main example. Furthermore, we review the perturbative light-cone quantization of the string theory and the calculation of the worldsheet S-matrix.
Semiclassical strings and AdS/CFT
我们讨论了具有大量子数的“半经典”弦态扇区中的AdS/CFT对偶性。我们回顾了相干态有效作用量方法，在该方法中，类似的2d西格玛模型作用量出现在AdS_5 × S^5弦作用量和代表N=4超杨-米尔斯伸缩算符的可积自旋链哈密顿量中。我们考虑的主要是领先的能源/异常尺寸相匹配，但也评论高阶修正的订单条款。
Mack has conjectured that all conformal field theories are equivalent to string theories. We explore the example of the two-dimensional minimal model CFTs and confirm that the Mellin transformed amplitudes have the desired properties of string theory in three-dimensional anti-de Sitter spacetime.
The D3-D5 probe-brane system is holographically dual to a defect CFT which is known to be integrable. The evidence comes mainly from the study of correlation functions at weak coupling. In the present work we shed light on the emergence of integrability on the string theory side. We do so by constructing the double row transfer matrix which is conserved when the appropriate boundary conditions are imposed. The corresponding reflection matrix turns out to be dynamical and depends both on the spectral parameter and the string embedding coordinates.
Semiclassical String Solutions on 1/2 BPS Geometries
研究了以边界平面上的同心环为特征的1/2 BPS几何的IIB型弦论的半经典弦解。我们考虑折叠旋转弦携带非零R-电荷和圆形脉动弦。我们发现，与旋转弦不同，对于圆形脉动弦，当同心环取代AdS_5 \times S ^[5]时，动力学性质保持不变。利用引力对偶，我们还研究了相应的规范理论的威尔逊圈。在整体坐标系下，其结果与AdS_5 \times S^5中的结果定性相同，其中相应的规范理论定义在S^3 \times R上。我们表明，有一个修正的1/L领先的顺序行为的潜在的外部对象之间。
It was recently shown that string theory on $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ with minimal NS-NS flux ($k = 1$) is exactly dual to the symmetric orbifold of T4. Here we show that a similar statement also holds for the $D_n$ orbifolds of these backgrounds that have $\mathcal{N} = (2, 2)$ supersymmetry. In this case the CFT dual is the symmetric orbifold of $\mathbb{T}^4/D_n$.
Rotating deformations of AdS_3\times S^3, the orbifold CFT and strings in the pp-wave limit
我们构造了一个精确度规，它在短距离上是5+1时空中无质量粒子的度规（沿着球的直径运动），在无穷远处是AdS_3 \times S^3。我们还考虑了一组局部为AdS_3 \times S^3的锥形亏损时空，它们的质量和电荷是对偶轨道CFT的一组特殊的手征原色。我们发现，激发能的标量场在后者的几何完全同意在相应的CFT状态的激发扭转运营商：红移的几何再现“长圆形”的物理在CFT。我们提出了一个从AdS_3 \times S^3 \times T^4中的弦态到orbifold CFT中的态的映射，类似于最近发现的AdS_5 \times S^5的映射。弦的振动可以被描绘成CFT中费米海的振荡。
We study two dimensional conformal field theory with a left-moving conserved current $J$, perturbed by an irrelevant, Lorentz symmetry breaking operator with the quantum numbers of $J\bar{T}$, using a combination of field and string theoretic techniques. We show that the spectrum of the theory has some interesting features, which may shed light on systems of interest for holography and black hole physics.
6D black string as a model of the AdS/CFT correspondence
讨论了极值BTZ黑洞和极值EBTZ黑洞的熵. EBTZ黑洞是指嵌入五维（5D）黑洞中的BTZ黑洞。引入六维行波黑弦作为实现AdS/CFT对应的具体模型。行波携带动量分布$p(u)$，其在计算熵和建立对应中起重要作用。事实证明，EBTZ黑洞与AdS/CFT对应一致。
The 3-string vertex and the AdS/CFT duality in the PP-wave limit
我们继续研究PP波背景下的弦相互作用，并表明hep-th/0211188的建议可以扩展到一个完整的超对称顶点。然后我们计算了玻色子和费米子扇区中的弦振幅，发现与场论的结果一致。
We investigate the quasinormal spectrum of electromagnetic perturbations of rotating black strings. Among the solutions of Einstein equations in the presence of a negative cosmological constant there are asymptotically anti-de Sitter (AdS) black holes whose horizons have the topology of a cylinder. The stationary version of these AdS black holes represents rotating black strings. The conformal field theory (CFT) dual of a black string lives in a Minkowski space with a compact dimension. On the basis of the AdS/CFT duality, we interpret a CFT plasma moving with respect to the preferred rest fra…
Spinning strings and AdS/CFT duality
我们讨论了AdS_5 × S^5中一类特殊的半经典弦态，它们的能量以弦张力平方（t Hooft耦合）与大角动量平方之比的整数次方进行正则展开。它们允许一个定量检查的AdS/CFT的对偶性在非超对称扇区的状态，也有助于揭示的作用，可积结构的两侧的弦论-规范理论对偶。
Exact Solutions in Open Bosonic String Field Theory and Marginal Deformation in CFT
本文继续研究开玻色弦场论的精确解。我们在定义于对应于描述D25-膜的边界共形场论的背景上的弦场论中给出了新的解。然后，我们将研究这个解决方案周围的波动模式，我们确定其基本属性从上述经典解决方案的弦场论的线性化运动方程。
Two-dimensional black holes as open strings: A new realization of the ADS/CFT correspondence
我们证明了Anti-de Sitter空间上弱耦合二维玻色子引力可以用开弦动力学来描述。弦的Neumann和Dirichlet边界条件导致Anti-de Sitter/共形场论对应的两种不同实现。特别地，在狄利克雷情形下，二维黑洞的熵可以通过计算弦态来精确地再现。
Non-compact String Backgrounds and Non-rational CFT
这是一个介绍的微观技术，非理性的体积和边界共形场论，需要描述字符串在非紧凑的弯曲背景中移动。后者出现，例如，在AdS/CFT样的二元性和时间依赖性过程的研究的背景下。在概述了中心概念之后，我们重点讨论了两个具体但相当典型的模型：刘维场论和2D雪茄。而不是遵循历史的道路，介绍试图是系统的和自成一体的。
PP-Wave / CFT_2 Duality
本文从对偶Sym_N（K3）CFT的角度研究了IIB型弦论的AdS_3 \times S^3 \times K3紧化的pp波极限.我们提出，这种pp波几何中的基本弦与Sym_N（K3）CFT的c=6有效弦是对偶的，后者的弦比特由扭曲算子组成.大质量的基本弦振子对应于有效弦中的某些扭曲的Virasoro生成元。结果表明，基态和亏格展开参数（至少在CFT的轨道极限）相一致。令人惊讶的是，后者的尺度类似于J^2/N，而不是预期的J^4/N^2。我们证明了领先的协议之间的PP波和CFT粒子谱。对于退化的特殊情况（一个NS 5-膜）一个有趣的完全协议。
We study rigidly rotating and pulsating $(m,n)$ strings in $AdS_3 \times S^3$ with mixed three form flux. The $AdS_3 \times S^3$ background with mixed three form flux is obtained in the near horizon limit of $SL(2,Z)$-transformed solution, corresponding to the bound state of NS5-branes and fundamental strings. We study the probe $(m,n)-$string in this background by solving the manifest $SL(2,Z)-$covariant form of the action. We find out the dyonic giant magnon and single spike solutions corresponding to the equations of motion of a probe string in this background and find out various relations…
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