The Schwarzian sector of higher spin CFTs

01.04.2021 14:00 – 15:00

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 talk, I shall generalize this picture to CFTs with higher spin conserved currents. It will be demonstrated that the partition function in the near-extremal limit agrees with that of BF higher spin gravity in AdS2 which is described by a generalized Schwarzian theory. We also provide a spectral decomposition of Schwarzian partition functions via fusion kernel for W-algebras.

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