Holographic entanglement entropy in AdS$_3$$/$WCFT

TL;DR

This paper explores the holographic dual of entanglement entropy in warped conformal field theories (WCFTs) using AdS$_3$ with CSS boundary conditions, linking bulk massive spinning particles to boundary entanglement.

Contribution

It provides a geometric holographic description of WCFT entanglement entropy via worldlines of massive spinning particles in AdS$_3$ with CSS boundary conditions.

Findings

Bulk object for entanglement entropy is a massive spinning particle's worldline.

Worldline action matches WCFT entanglement entropy.

Explicit relation between particle parameters and WCFT quantum numbers.

Abstract

In this paper, we consider AdS$_3$ with Comp$\grave{\mathrm{e}}$re-Song-Strominger (CSS) boundary conditions, under which the dual field theory is warped conformal field theory (WCFT), featuring a Virasoro-Kac-Moody algebra. We provide a holographic dual picture of the single interval entanglement entropy in WCFT in the bulk AdS$_3$. We explicitly show that the bulk object captures the entanglement entropy in WCFT is a massive spinning particle's worldline that anchored on the boundary of the interval. Given the mass and spin of the particle as functions of quantum numbers of the twist operator in WCFT, the on-shell worldline action will match the entanglement entropy in WCFT.