T-duality trivializes bulk-boundary correspondence: the parametrised case

TL;DR

This paper proposes that T-duality simplifies the bulk-boundary correspondence in parametrised models, supported by proof in a specific case relevant to string theory and topological insulators.

Contribution

It introduces a conjecture that T-duality trivializes the bulk-boundary correspondence in parametrised settings and provides proof for a significant special case.

Findings

T-duality can trivialize the bulk-boundary correspondence in certain models.

The conjecture is validated in a case relevant to string theory.

Implications for topological insulators with defects.

Abstract

We state a general conjecture that T-duality trivialises a model for the bulk-boundary correspondence in the parametrised context. We give evidence that it is valid by proving it in a special interesting case, which is relevant both to String Theory and to the study of topological insulators with defects in Condensed Matter Physics.