Warped Black Holes in Lower-Spin Gravity

TL;DR

This paper develops a holographic model for warped conformal field theories at finite temperature using lower-spin gravity, matching thermodynamic and entanglement properties with dual WCFT predictions.

Contribution

It introduces a simple holographic description of WCFTs via warped AdS black holes in a lower-spin Chern-Simons framework, aligning geometric and field theory results.

Findings

Determined asymptotic symmetries of warped AdS black holes.

Calculated thermal entropy consistent with WCFT expectations.

Derived holographic entanglement entropy matching dual WCFT results.

Abstract

We provide a simple holographic description for a warped conformal field theory (WCFT) at finite temperature. To this end we study the counterpart of warped anti-de Sitter black holes in three dimensions using a lower-spin $\mathfrak{sl}(2,\mathbb{R})\oplus\mathfrak{u}(1)$ Chern-Simons theory proposed by Hofman and Rollier. We determine the asymptotic symmetries, thermal entropy and holographic entanglement entropy and show that all these quantities are in perfect agreement with the expectations from the dual WCFT perspective. In addition we provide a metric interpretation of our results which naturally fits with our analysis in the Chern-Simons formulation.