Asymptotically Free AdS3/CFT2

Abstract

We propose a new $Ad{S}_3/CF{T}_2$ duality, in which the bulk string theory has a target spacetime $Ad{S}_3$ times a squashed three-sphere $S_{♭}^3$, and the dual $CF{T}_2$ is a symmetric product of sigma models on $R_{\varphi }\times S_{♭}^3$, deformed by a $\varphi$-dependent $Z_2$ twist operator. The duality maps the asymptotic region of $Ad{S}_3$ to the region $\varphi \to \infty$, where the twist interaction in the $CF{T}_2$ turns off. The $Ad{S}_3$ backgrounds in question have $R_{AdS}<{\ell }_s$, and so lie on the string side of the string/black hole correspondence transition. As a consequence, the high energy density of states consists of a string gas in $Ad{S}_3$ rather than an ensemble of BTZ black holes. This property allows us to derive the dual $CF{T}_2$ by a systematic analysis of the worldsheet string theory on $Ad{S}_3$.

125 pages, 3 figures. v2: typos fixed; version published in JHEP

References in corpus (6)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Fuzzballs with internal excitations
• Accelerating Branes and the String/Black Hole Transition
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Multi-Instanton Calculus in c = 1 String Theory

Cited by in corpus (3)

• A localising AdS${}_3$ sigma model
• String correlators in AdS${}_3$ from FZZ duality
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality