T-duality, vertical holonomy line bundles and loop Hori formulae

TL;DR

This paper advances the mathematical understanding of T-duality and Hori formulae by establishing these concepts for winding q-loop spaces, which are infinite-dimensional subsets of loop spaces.

Contribution

It is the first to prove T-duality and Hori formulae specifically for winding q-loop spaces, extending the scope of these dualities to infinite-dimensional contexts.

Findings

Proved T-duality for winding q-loop spaces.

Established Hori formulae in the context of infinite-dimensional loop spaces.

Extended duality concepts to new classes of loop space subspaces.

Abstract

This paper is a step towards realizing T-duality and Hori formulae for loop spaces. Here we prove T-duality and Hori formulae for winding q-loop spaces, which are infinite dimensional subspaces of loop spaces.