On the T-dual renormalisation of entanglement entropy

TL;DR

This paper explores how T-duality influences the renormalisation of entanglement entropy, revealing new relations between counter-terms through double field theory and suggesting a T-dual analogue of Slavnov-Taylor identities.

Contribution

It introduces a T-duality consistent framework for entanglement entropy renormalisation using double field theory, providing systematic relations between higher order quantum corrections.

Findings

Derived new relations between entanglement entropy counter-terms.

Established a systematic approach using double field theory.

Proposed an analogue of Slavnov-Taylor identities for T-dual counter-terms.

Abstract

Imposing T-duality in the renormalisation process of entanglement entropy leads to new relations between entanglement entropy counter-terms. T-duality is made explicit by means of the generalised metric of double field theory in the context of bulk-boundary duality. Double field theory in the bulk naturally provides the new relations between higher order quantum corrections to entanglement entropy as well as a systematic approach to understanding entanglement entropy renormalisation counter-terms. An analogue for Slavnov-Taylor identities for T-dual counter-terms of entanglement entropy is envisaged.