Exceptional algebroids and Type IIB superstrings
Author(s)
Bugden, Mark
Hulik, Ondrej
Valach, Fridrich
Waldram, Daniel
Type
Journal Article
Abstract
In this note we study exceptional algebroids, focusing on their relation to type IIB superstring theory. We show that a IIB-exact exceptional algebroid (corresponding to the group urn:x-wiley:00158208:media:prop202100104:prop202100104-math-0001, for urn:x-wiley:00158208:media:prop202100104:prop202100104-math-0002) locally has a standard form given by the exceptional tangent bundle. We derive possible twists, given by a flat urn:x-wiley:00158208:media:prop202100104:prop202100104-math-0003-connection, a covariantly closed pair of 3-forms, and a 5-form, and comment on their physical interpretation. Using this analysis we reduce the search for Leibniz parallelisable spaces, and hence maximally supersymmetric consistent truncations, to a simple algebraic problem. We show that the exceptional algebroid perspective also gives a simple description of Poisson–Lie U-duality without spectators and hence of generalised Yang–Baxter deformations.
Date Issued
2022-01
Date Acceptance
2021-11-01
Citation
Fortschritte Der Physik/Progress of Physics, 2022, 70 (1), pp.1-8
ISSN
0015-8208
Publisher
Wiley-VCH Verlag
Start Page
1
End Page
8
Journal / Book Title
Fortschritte Der Physik/Progress of Physics
Volume
70
Issue
1
Copyright Statement
© 2021 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
License URL
Sponsor
Science and Technology Facilities Council (STFC)
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000723010400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
ST/T000791/1
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
exceptional field theory
generalised geometry
Poisson-Lie U-duality
type IIB superstring
Yang-Baxter deformations
DUALITY
Publication Status
Published
Article Number
ARTN 2100104
Date Publish Online
2021-11-28