The Schwarzian sector of higher spin CFTs

Two-dimensional conformal field theories with Virasoro symmetry generically contain a Schwarzian sector. This sector is related to the near-horizon region of the near-extremal BTZ black hole in the holographic dual. In this work we generalize this picture to CFTs with higher spin conserved currents....

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Detalles Bibliográficos
Autor principal: Datta, Shouvik
Lenguaje:eng
Publicado: 2021
Materias:
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP04(2021)171
http://cds.cern.ch/record/2749415
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author Datta, Shouvik
author_facet Datta, Shouvik
author_sort Datta, Shouvik
collection CERN
description Two-dimensional conformal field theories with Virasoro symmetry generically contain a Schwarzian sector. This sector is related to the near-horizon region of the near-extremal BTZ black hole in the holographic dual. In this work we generalize this picture to CFTs with higher spin conserved currents. It is shown that the partition function in the near-extremal limit agrees with that of BF higher spin gravity in AdS$_{2}$ which is described by a generalized Schwarzian theory. We also provide a spectral decomposition of Schwarzian partition functions via the $ {\mathcal{W}}_N $ fusion kernel and consider supersymmetric generalizations.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2021
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spelling cern-27494152023-10-04T07:45:32Zdoi:10.1007/JHEP04(2021)171http://cds.cern.ch/record/2749415engDatta, ShouvikThe Schwarzian sector of higher spin CFTshep-thParticle Physics - TheoryTwo-dimensional conformal field theories with Virasoro symmetry generically contain a Schwarzian sector. This sector is related to the near-horizon region of the near-extremal BTZ black hole in the holographic dual. In this work we generalize this picture to CFTs with higher spin conserved currents. It is shown that the partition function in the near-extremal limit agrees with that of BF higher spin gravity in AdS$_{2}$ which is described by a generalized Schwarzian theory. We also provide a spectral decomposition of Schwarzian partition functions via the $ {\mathcal{W}}_N $ fusion kernel and consider supersymmetric generalizations.Two-dimensional conformal field theories with Virasoro symmetry generically contain a Schwarzian sector. This sector is related to the near-horizon region of the near-extremal BTZ black hole in the holographic dual. In this work we generalize this picture to CFTs with higher spin conserved currents. It is shown that the partition function in the near-extremal limit agrees with that of BF higher spin gravity in AdS$_2$ which is described by a generalized Schwarzian theory. We also provide a spectral decomposition of Schwarzian partition functions via the $\mathcal{W}_N$ fusion kernel and consider supersymmetric generalizations.arXiv:2101.04980CERN-TH-2021-009oai:cds.cern.ch:27494152021-01-13
spellingShingle hep-th
Particle Physics - Theory
Datta, Shouvik
The Schwarzian sector of higher spin CFTs
title The Schwarzian sector of higher spin CFTs
title_full The Schwarzian sector of higher spin CFTs
title_fullStr The Schwarzian sector of higher spin CFTs
title_full_unstemmed The Schwarzian sector of higher spin CFTs
title_short The Schwarzian sector of higher spin CFTs
title_sort schwarzian sector of higher spin cfts
topic hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP04(2021)171
http://cds.cern.ch/record/2749415
work_keys_str_mv AT dattashouvik theschwarziansectorofhigherspincfts
AT dattashouvik schwarziansectorofhigherspincfts

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