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Holographic warped CFTs from General Relativity on AdS3
Abstract
We introduce a new set of boundary conditions for three-dimensional Einstein gravity with negative cosmological constant. The canonical generators plainly realize the semidirect sum of Virasoro and u(1) Kac-Moody algebras in its standard form, without the need of additional redefinitions of the global charges. We show that requiring Euclidean BTZ and thermal AdS3 to be diffeomorphic precisely induces the warped modular S-transformation of the chemical potentials. The corresponding warped Cardy formula then exactly reproduces the Bekenstein-Hawking entropy, where the ground state is identified as Euclidean AdS3. An explicit comparison with the boundary conditions of Brown-Henneaux and Compere-Song-Strominger is also addressed.
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BibTeX
@misc{lara2026holographic,
title = {{Holographic warped CFTs from General Relativity on AdS$_3$}},
author = {Kristiansen Lara and Ricardo Troncoso},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.28751},
eprint = {2608.28751},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28751},
}
RIS
TY - UNPB
TI - Holographic warped CFTs from General Relativity on AdS_3
AU - Kristiansen Lara
AU - Ricardo Troncoso
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2608.28751
UR - https://arxiv.org/abs/2608.28751
AB - We introduce a new set of boundary conditions for three-dimensional Einstein gravity with negative cosmological constant. The canonical generators plainly realize the semidirect sum of Virasoro and u(1) Kac-Moody algebras in its standard form, without the need of additional redefinitions of the global charges. We show that requiring Euclidean BTZ and thermal AdS_3 to be diffeomorphic precisely induces the warped modular S-transformation of the chemical potentials. The corresponding warped Cardy formula then exactly reproduces the Bekenstein-Hawking entropy, where the ground state is identified as Euclidean AdS_3. An explicit comparison with the boundary conditions of Brown-Henneaux and Compere-Song-Strominger is also addressed.
ER -