T-duality simplifies bulk-boundary correspondence: some higher dimensional cases

TL;DR

This paper extends the application of T-duality to higher-dimensional topological insulators, demonstrating its role in simplifying the bulk-boundary correspondence beyond two dimensions, including insights into the 4D quantum Hall effect.

Contribution

It generalizes previous 2D results to higher dimensions, providing new understanding of T-duality's role in topological phases and boundary phenomena.

Findings

T-duality trivializes bulk-boundary correspondence in higher dimensions

Extension of T-duality framework to 4D quantum Hall effect

Simplification of topological insulator analysis using T-duality

Abstract

Recently we introduced T-duality in the study of topological insulators, and used it to show that T-duality trivialises the bulk-boundary correspondence in 2 dimensions. In this paper, we partially generalise these results to higher dimensions and briefly discuss the 4D quantum Hall effect.