Entanglement Entropy in Warped Conformal Field Theories

TL;DR

This paper explores entanglement entropy in (1+1)-dimensional Warped Conformal Field Theories using the Rindler method and holography, connecting field theory results with Lower Spin Gravity and Chern-Simons theory.

Contribution

It provides a detailed holographic computation of entanglement entropy in WCFTs, introducing geometric and Wilson line methods in warped geometries.

Findings

Derived universal entanglement entropy formulas for WCFTs.

Connected field theory results with holographic descriptions via Lower Spin Gravity.

Introduced geometric interpretation using geodesics and particles in warped space.

Abstract

We present a detailed discussion of entanglement entropy in (1+1)-dimensional Warped Conformal Field Theories (WCFTs). We implement the Rindler method to evaluate entanglement and Renyi entropies for a single interval and along the way we interpret our results in terms of twist field correlation functions. Holographically a WCFT can be described in terms of Lower Spin Gravity, a SL(2,R)xU(1) Chern-Simons theory in three dimensions. We show how to obtain the universal field theory results for entanglement in a WCFT via holography. For the geometrical description of the theory we introduce the concept of geodesic and massive point particles in the warped geometry associated to Lower Spin Gravity. In the Chern-Simons description we evaluate the appropriate Wilson line that captures the dynamics of a massive particle.