Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles

TL;DR

This paper extends spherical T-duality to oriented non-principal SU(2)-bundles, revealing new examples and the phenomenon of infinitely many T-duals, broadening the understanding of dualities in string theory.

Contribution

It generalizes spherical T-duality from principal to non-principal SU(2)-bundles, uncovering infinitely many T-duals in the non-principal case.

Findings

Existence of infinitely many spherical T-duals for non-principal SU(2)-bundles

New examples of spherical T-duality in non-principal bundles

Extension of T-duality framework to more general bundle types

Abstract

Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles. In this paper, we extend spherical T-duality to spacetimes that are oriented non-principal SU(2)-bundles. There are several interesting new examples in this case and a new phenomenon appearing in the non-principal case is the existence of infinitely many spherical T-duals.