We consider the general asymptotically flat, doubly-rotating, three-charge black hole uplifted to a family of NS5-F1-P black brane solutions of Type IIB supergravity. We construct a null-gauged WZW model whose target-space geometry reproduces this background in the NS5 decoupling limit, and show that the gauging parameters precisely satisfy the appropriate consistency conditions on the perturbative string spectrum. Through an analytic continuation and an appropriate limit, this model relates to a recently studied construction describing strings on smooth, horizonless geometries. We further analyze the supersymmetric and extremal three-charge configuration, corresponding to the ten-dimensional uplift of the (NS5-decoupled) BMPV black hole, and show that it requires a novel class of null-gauged WZW models. Our construction provides explicit examples of worldsheet CFTs that capture string dynamics on certain black hole geometries with linear dilaton asymptotics.
Light probes interacting with heavy bound states such as black holes give rise to interesting observables containing valuable dynamical information. Recently, a family of black hole microstates was shown to admit an exact string worldsheet description. We construct the physical vertex operators of these models, and derive their form in the low-energy AdS$_3$ limit. We then compute an extensive set of novel heavy-light correlators in these backgrounds. A subset of these provide the first match between worldsheet correlators in black hole microstates and the holographically dual conformal field …
Time-like linear dilaton backgrounds admit a classical solution that describes a closed folded string that is created at an instant. We refer to such strings as Instant Folded Strings (IFS). We study an exact worldsheet CFT description of an IFS that involves two vertex operators which describe two open string modes that propagate on a time-like FZZT-brane, which plays the role of a regulator to the IFS. We take advantage of this description to calculate the most basic quantity associated with IFSs - their production rate. Some implications of this calculation to stringy cosmology and black ho…
The tensionless limit of string theory has recently been formulated in terms of worldsheet Rindler physics. In this paper, by considering closed strings moving in background Rindler spacetimes, we provide a concrete exemplification of this phenomenon. We first show that strings probing the near-horizon region of a generic non-extremal blackhole become tensionless thereby linking a spacetime Carroll limit to a worldsheet Carroll limit. Then, considering strings in $d$-dimensional Rindler spacetime we find a Rindler structure induced on the worldsheet. Novelties, including folds, appear on the c…
Recently an exact worldsheet description of strings propagating in certain black hole microstate geometries was constructed in terms of null-gauged WZW models. In this paper we consider a family of such coset models, in which the currents being gauged are specified by a set of parameters that a priori take arbitrary values. We show that consistency of the spectrum of the worldsheet CFT implies a set of quantisation conditions and parity restrictions on the gauging parameters. We also derive these constraints from an independent geometrical analysis of smoothness, absence of horizons and absenc…
Liouville strings in AdS$_3$: the worldsheet story
Center for Cosmology and Particle Physics Department of Physics, New York University(纽约大学宇宙学与粒子物理中心物理系);Departamento de Física, Universidad de Buenos Aires, FCEN-UBA Instituto de Física de Buenos Aires, IFIBA-CONICET(布宜诺斯艾利斯大学物理系、理学院、布宜诺斯艾利斯物理研究所)
In this letter, the open string is quantized in a time dependent black hole background. The geometry is defined through an adiabatic approximation of the Vaydia metric. The worldsheet two-point function is derived and it is shown to have the same type of singularity as the flat space one. However, the equal times two-point function depends on the particular Cauchy surface where the worldsheet fields are defined. Finite temperature effects are incorporated through the Liouville-von Neumann approach to non equilibrium thermodynamics.
Protected string spectrum in AdS3/CFT2 from worldsheet integrability
我们推导出在弦张力和三种形式的通量的任意值下,具有16个超荷的AdS 3/CFT 2对偶对的受保护闭弦谱。这些紧接着可积世界片理论的谱的全圈贝特方程。此外,代表底层的可积系统作为自旋链,我们发现,它们的动态涉及长度变化的相互作用和保护状态对应于上面的Berenstein-Maldacena-Nastase真空的无隙激发。在AdS 3 x S3 x T4的情况下,这些算子的简并度与对偶CFT 2和超重力谱的简并度精确匹配。另一方面,我们发现,对于AdS 3 x S3 x S3 x S1,受保护的状态比以前的超引力计算所建议的要少。特别地,受保护状态对于两个三球具有相同的su(2)电荷。
Nagoya University(名古屋大学);Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University(小林-益川粒子宇宙起源研究所);KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization(高能加速器研究机构粒子核研究所以及KEK理论中心);Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University(京都大学汤川理论物理研究所引力物理中心)
Heterotic AdS_3/CFT_2 duality with (0,4) spacetime supersymmetry
本文讨论了具有(0,4)靶空间超对称性的杂化三电荷模型的AdS_3/CFT_2对偶性。Kutasov,Larsen和Leigh在[hep-th/9812027]中构造了AdS_3 x S^3/Z_N x T^4近视界几何上杂化弦的世界片理论.我们提出了由产生于轨道折叠ADHM模型Higgs分支上的二维(0,4)西格玛模型给出的对偶共形场论.作为一个非平凡的一致性检查的对应关系,我们发现,左,右移动的中心荷的红外共形场论同意世界片模型预测。此外,利用熵函数形式,我们证明了在次领先阶下,中心荷也可以由α修正的超引力理论得到.
The ER = EPR correspondence relates a superposition of entangled, disconnected spacetimes to a connected spacetime with an Einstein-Rosen bridge. We construct examples in which both sides may be described by weakly-coupled string theory. The relation between them is given by a Lorentzian continuation of the FZZ duality of the two-dimensional Euclidean black hole CFT in one example, and in another example by continuation of a similar duality that we propose for the asymptotic Euclidean AdS3 black hole. This gives a microscopic understanding of ER = EPR: one has a worldsheet duality between stri…
We compute a large collection of string worldsheet correlators describing light probes interacting with heavy black hole microstates. The heavy states consist of NS5 branes carrying momentum and/or fundamental string charge. In the fivebrane decoupling limit, worldsheet string theory on a family of such backgrounds is given by exactly solvable null-gauged WZW models. We construct physical vertex operators in these cosets, including all massless fluctuations. We first compute a large class of novel heavy-light-light-heavy correlators in the AdS$_3$ limit, where the light operators include those…
Carrollian Worldsheets on Carrollian Targets, When does ILST describe a null string theory?
School of Physics, Institute for Research in Fundamental Sciences (IPM)(基础科学研究所物理学院);Beijing Institute of Mathematical Sciences and Applications (BIMSA)(北京数学与应用数学研究所)
We explore the stringy structure of 1/2-BPS bound states of NS fivebranes carrying momentum or fundamental string charge, in the decoupling limits leading to little string theory and to AdS3/CFT2 duality. We develop an exact worldsheet description of these states using null-gauged sigma models, and illustrate the construction by deriving the closed-form solution sourced by an elliptical NS5-F1 supertube. The Calabi-Yau/Landau-Ginsburg correspondence maps this geometrical worldsheet description to a non-compact LG model whose superpotential is determined by the fivebrane source configuration. S…