Classical geometry from the tensionless string

Abstract

Tensionless string theory on ${\text{AdS}}_3\times {\text{S}}^3\times \mathcal{M}$ is explored in the limit that the strings wind the asymptotic boundary a large number of times. Although the worldsheet is usually thought to be localised to the $\text{AdS}$ boundary, we argue that the string can actually probe the bulk geometry in this limit. In particular, we show that correlation functions can be expressed in terms of a minimal-area worldsheet propagating in ${\text{AdS}}_3$. We then relate the classical motion of the string to the twistor-like free field description of the tensionless worldsheet theory. Finally, we consider a particular dimensional reduction of ${\text{AdS}}_3$ to ${\text{AdS}}_2$, and show that the effective action of the worldsheet formally resembles the one-dimensional Schwarzian theory of JT gravity with conical defects.

arXiv comment45 pages, 9 figures

References in corpus (42)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Aspects of Holographic Entanglement Entropy
• An Investigation of AdS${}_2$ Backreaction and Holography
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• The Worldsheet Dual of the Symmetric Product CFT
• Correlation functions for M^N/S_N orbifolds
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Tensionless String Spectra on ${\mathrm{AdS}}_3$
• Averaging Over Narain Moduli Space
• From Free Fields to $AdS$
• Anti-de-Sitter D-branes
• An exact quantization of Jackiw-Teitelboim gravity
• A universal Schwarzian sector in two-dimensional conformal field theories
• From Free Fields to $AdS$ -- III
• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• Summing over Geometries in String Theory
• Partition functions of the tensionless string
• From Free Fields to AdS -- II
• Correlators of the symmetric product orbifold
• Permutation orbifolds
• Jackiw-Teitelboim Gravity from the Karch-Randall Braneworld
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• Aspects of AdS${}_2$ Quantum Gravity and the Karch-Randall Braneworld
• A conformal block Farey tail
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills
• Higher genus correlators for tensionless ${\mathrm{AdS}}_3$ strings
• Narain to Narnia
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• From Symmetric Product CFTs to ${\mathrm{AdS}}_3$
• Comments on the $S_N$ orbifold CFT in the large $N$-limit
• On Hurwitz numbers and Hodge integrals
• Closed Bosonic String Field Theory At Quartic Order
• JT Gravity from Partial Reduction and Defect Extremal Surface
• Maximal Chaos from Strings, Branes and Schwarzian Action
• Stress-energy tensor correlators from the world-sheet
• Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
• Twistor Coverings and Feynman Diagrams
• Aspects of Holography in Conical $Ad{S}_3$
• The physical states of the Hybrid Formalism
• Scattering and Strebel graphs

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• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality