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.

v2: 22 pages, approximates published version

References in corpus (6)

• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Quantum W-symmetry in AdS_3
• JT gravity, KdV equations and macroscopic loop operators
• Conformal perturbation theory and higher spin entanglement entropy on the torus
• Local quenches and quantum chaos from higher spin perturbations

Cited by in corpus (7)

• A proposal for 3d quantum gravity and its bulk factorization
• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• Higher spin JT gravity and a matrix model dual
• 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