Torus bundles, automorphisms and T-duality


Change log
Authors
Mahmood, H. 
Reid-Edwards, R. A. 
Abstract

Abstract: We reconsider some older constructions of T-duality, based on automorphisms of the worldsheet operator algebra, in a modern context. It has been long known that at special points in the moduli space of torus compactifications, the target space gauge symmetry may be enhanced. Away from such points the symmetry is broken and T-duality may be understood as a residual discrete gauge symmetry that survives this breaking. Drawing on work on connections over the space of string backgrounds, we discuss how to generalise this framework for T-duality to geometric and non-geometric backgrounds that are not full solutions of string theory, but may play an important role in exact backgrounds. Along the way we find an interesting algebraic structure and discuss its relationship with doubled geometry. We comment on non-isometric T-duality in this context.

Description
Keywords
Regular Article - Theoretical Physics, String Duality, Bosonic Strings
Journal Title
Journal of High Energy Physics
Conference Name
Journal ISSN
1029-8479
Volume Title
2021
Publisher
Springer Berlin Heidelberg