On non-abelian U-duality of 11D backgrounds
High Energy Physics - Theory
2022-12-08 v2
Abstract
In this letter we generalised the procedure of non-abelian T-duality based on a B-shift and a sequence of formal abelian T-dualities in non-isometric directions to 11-dimensional backgrounds. This consists of a C-shift followed by either a formal U-duality transformation or taking a IIB section. We investigate restrictions and applicability of the procedure and find that it can provide supergravity solutions for the SL(5) exceptional Drinfeld algebra only when a spectator field is present, which is consistent with examples known in the literature.
Cite
@article{arxiv.2007.01213,
title = {On non-abelian U-duality of 11D backgrounds},
author = {Edvard T. Musaev},
journal= {arXiv preprint arXiv:2007.01213},
year = {2022}
}
Comments
20 pages, 7 figures. V2: added a discussion of restrictions and applicability of the suggested NAUD procedure