TT¯ deformations of holographic warped CFTs

Rahul Poddar (Science Institute, University of Iceland, Dunhaga 3, 107 Reykjavík, Iceland)

We explore TT¯ deformations of warped conformal field theories (WCFTs) in two dimensions as examples of TT¯ deformed nonrelativistic quantum field theories. WCFTs are quantum field theories with a Virasoro×U(1) Kac-Moody symmetry. We compute the deformed symmetry algebra of a TT¯ deformed holographic WCFT, using the asymptotic symmetries of AdS3 with TT¯ deformed Compére, Song, and Strominger boundary conditions. The U(1) Kac-Moody symmetry survives provided one allows the boundary metric to transform under the asymptotic symmetry. The Virasoro sector remains but is now deformed and no longer chiral.

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      "title": "<math><mi>T</mi><mover><mi>T</mi><mo>\u00af</mo></mover></math> deformations of holographic warped CFTs"
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  "abstracts": [
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      "source": "APS", 
      "value": "We explore <math><mi>T</mi><mover><mi>T</mi><mo>\u00af</mo></mover></math> deformations of warped conformal field theories (WCFTs) in two dimensions as examples of <math><mi>T</mi><mover><mi>T</mi><mo>\u00af</mo></mover></math> deformed nonrelativistic quantum field theories. WCFTs are quantum field theories with a <math><mrow><mi>Virasoro</mi><mo>\u00d7</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></mrow></math> Kac-Moody symmetry. We compute the deformed symmetry algebra of a <math><mi>T</mi><mover><mi>T</mi><mo>\u00af</mo></mover></math> deformed holographic WCFT, using the asymptotic symmetries of <math><mrow><msub><mrow><mi>AdS</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> with <math><mi>T</mi><mover><mi>T</mi><mo>\u00af</mo></mover></math> deformed Comp\u00e9re, Song, and Strominger boundary conditions. The U(1) Kac-Moody symmetry survives provided one allows the boundary metric to transform under the asymptotic symmetry. The Virasoro sector remains but is now deformed and no longer chiral."
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Published on:
27 November 2023
Publisher:
APS
Published in:
Physical Review D , Volume 108 (2023)
Issue 10
DOI:
https://doi.org/10.1103/PhysRevD.108.105016
arXiv:
2305.15476
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: