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

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.

24 pages. Revised

Cited by in corpus (6)

• T-duality simplifies bulk-boundary correspondence: the noncommutative case
• Good Wannier bases in Hilbert modules associated to topological insulators
• Twisted crystallograpic T-duality via the Baum--Connes isomorphism
• Crystallographic T-duality
• The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices
• T-duality and the bulk-boundary correspondence