The Schwarzian sector of higher spin CFTs

Abstract

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 commentv2: 22 pages, approximates published version

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• A proposal for 3d quantum gravity and its bulk factorization
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• Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics
• Black hole solutions of three dimensional E${}_6$-gravity
• Schwarzian for colored Jackiw-Teitelboim gravity
• Higher spin wormholes from modular bootstrap