King's College London

Research portal

Patching DFT, T-duality and gerbes

Research output: Contribution to journalArticle

Original languageEnglish
Article number74
Number of pages19
JournalJournal of High Energy Physics
Volume2017
Issue number74
DOIs
Accepted/In press29 Mar 2017
Published12 Apr 2017

Documents

King's Authors

Abstract

We clarify the role of the dual coordinates as described from the perspectives of the Buscher T-duality rules and Double Field Theory. We show that the T-duality angular dual coordinates cannot be identified with Double Field Theory dual coordinates in any of the proposals that have been made in the literature for patching the doubled spaces. In particular, we show with explicit examples that the T-duality angular dual coordinates can have non-trivial transition functions over a spacetime and that their identification with the Double Field Theory dual coordinates is in conflict with proposals in which the latter remain inert under the patching of the B-field. We then demonstrate that the Double Field Theory coordinates can be identified with some C-space coordinates and that the T-dual spaces of a spacetime are subspaces of the gerbe in C-space. The construction provides a description of both the local O(d, d) symmetry and the T-dual spaces of spacetime.

Download statistics

No data available

View graph of relations

© 2018 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454