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Tensionless AdS3/CFT2 and single trace $$ T\overline{T} $$

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Peer-reviewed

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Abstract

Abstract One of the few cases of AdS/CFT where both sides of the duality are under good control relates tensionless k = 1 strings on AdS3 to a two-dimensional symmetric product CFT. Building on prior observations, we propose an exact duality between string theory on a spacetime which is not asymptotically AdS and a non-conformal field theory. The bulk theory is constructed as a marginal deformation of the k = 1 AdS3 string while the spacetime dual is a single trace $$ T\overline{T} $$ T

                T
                ¯
              
            -deformed symmetric orbifold theory. As evidence for the duality, we match the one-loop bulk and boundary torus partition functions. This correspondence provides a framework to both learn about quantum gravity beyond AdS and understand how to define physical observables in $$ T\overline{T} $$
              T
              
                T
                ¯
              
            -deformed field theories.

Description

Acknowledgements: We thank Luis Apolo, Nathan Benjamin, Davide Bufalini, Soumangsu Chakraborty, Scott Collier, Lorenz Eberhardt, Matthias Gaberdiel, Shota Komatsu, Nicolas Kovensky, Per Kraus, David Kutasov, Emil Martinec, Ruben Monten, Greg Moore, Beat Nairz, Alessandro Sfondrini, Wei Song, Vit Sriprachyakul and Houri Christina Tarazi for useful discussions. We are especially grateful to Lorenz Eberhardt and Matthias Gaberdiel for helpful comments on a draft of this paper. AD and BK thank the Institut Pascal, participants and organizers of the workshop ‘Speakable and unspeakable in quantum gravity’ for their hospitality during the final stages of this work and for very stimulating discussions. AD acknowledges support from the Mafalda & Reinhard Oehme Fellowship. The work of BK was supported by STFC consolidated grants ST/T000694/1 and ST/X000664/1. The work of KN was supported by the Swiss National Science Foundation through a personal grant and via the NCCR SwissMAP. The work of SS is supported in part by NSF Grant No. PHY2014195.

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479

Volume Title

2024

Publisher

Springer Science and Business Media LLC

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Except where otherwised noted, this item's license is described as http://creativecommons.org/licenses/by/4.0/