T-duality and entanglement entropy for NS five-branes

TL;DR

This paper introduces a T-duality invariant algorithm for calculating entanglement entropy on NS five-branes, extending the Ryu-Takayanagi formula to account for string winding modes in localized backgrounds.

Contribution

It proposes a novel deformation of the Ryu-Takayanagi formula that incorporates winding mode dependence, ensuring T-duality invariance in entropy calculations.

Findings

Entropy calculation invariant under T-duality

Extension of Ryu-Takayanagi formula for NS five-branes

Accounts for winding mode dependence in localized backgrounds

Abstract

In this work an algorithm is proposed to calculate entropy for field theories living on NS five branes, which gives a result invariant under T-duality. This is a deformation of the well known Ryu-Takayanagi formula, which takes into account dependence of localized backgrounds for the branes on winding modes of strings.