Abstract
The \( T\overline{T} \) deformation is a solvable irrelevant deformation whose properties depend on the sign of the deformation parameter μ. In particular, \( T\overline{T} \)-deformed CFTs with μ < 0 have been proposed to be holographically dual to Einstein gravity where the metric satisfies Dirichlet boundary conditions at a finite cutoff surface. In this paper, we put forward a holographic proposal for \( T\overline{T} \)-deformed CFTs with μ > 0, in which case the bulk geometry is constructed by gluing a patch of AdS3 to the original spacetime. As evidence, we show that the \( T\overline{T} \) trace flow equation, the spectrum on the cylinder, and the partition function on the torus and the sphere, among other results, can all be reproduced from bulk calculations in glue-on AdS3.
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Acknowledgments
We are grateful to Bin Chen, Jin Chen, Zhengyuan Du, Xia Gu, Monica Guica, Kangning Liu, Reiko Liu, Dominik Neuenfeld, Andrew Rolph, Mauricio Romo, Jie-Qiang Wu, Xianjin Xie, Boyang Yu and Yuan Zhong for helpful discussions. LA thanks the Asia Pacific Center for Theoretical Physics (APCTP) for hospitality during the focus program “Integrability, Duality and Related Topics”, as well as the Korea Institute for Advanced Study (KIAS) for hospitality during the “East Asia Joint Workshop on Fields and Strings 2022”, where part of this work was completed. The work of LA was supported by the Dutch Research Council (NWO) through the Scanning New Horizons programme (16SNH02). The work of PXH, WXL, and WS is supported by the national key research and development program of China No. 2020YFA0713000.
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Apolo, L., Hao, PX., Lai, WX. et al. Glue-on AdS holography for \( T\overline{T} \)-deformed CFTs. J. High Energ. Phys. 2023, 117 (2023). https://doi.org/10.1007/JHEP06(2023)117
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DOI: https://doi.org/10.1007/JHEP06(2023)117