T-Duality for Langlands Dual Groups

TL;DR

This paper explores the connection between Langlands duality and T-duality in complex reductive Lie groups, proving their equivalence for groups with simple factors of types A, D, or E.

Contribution

It demonstrates that Langlands duality can be realized through T-duality specifically for certain classes of reductive groups, expanding the understanding of their relationship.

Findings

Confirmed T-duality implements Langlands duality for type A, D, E groups

Established conditions under which T-duality corresponds to Langlands duality

Provided mathematical proof for the equivalence in specified cases

Abstract

This article addresses the question of whether Langlands duality for complex reductive Lie groups may be implemented by T-dualization. We prove that for reductive groups whose simple factors are of Dynkin type A, D, or E, the answer is yes.