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G-Algebroids: a unified framework for exceptional and generalised geometry, and poisson-lie duality

Title: G-Algebroids: a unified framework for exceptional and generalised geometry, and poisson-lie duality
Authors: Bugden, M
Hulik, O
Valach, F
Waldram, D
Item Type: Journal Article
Abstract: We introduce the notion of urn:x-wiley:00158208:media:prop202100028:prop202100028-math-0001-algebroid, generalising both Lie and Courant algebroids, as well as the algebroids used in urn:x-wiley:00158208:media:prop202100028:prop202100028-math-0002 exceptional generalised geometry for urn:x-wiley:00158208:media:prop202100028:prop202100028-math-0003. Focusing on the exceptional case, we prove a classification of “exact” algebroids and translate the related classification of Leibniz parallelisable spaces into a tractable algebraic problem. After discussing the general notion of Poisson–Lie duality, we show that the Poisson–Lie U-duality is compatible with the equations of motion of supergravity.
Issue Date: 6-May-2021
Date of Acceptance: 1-May-2021
URI: http://hdl.handle.net/10044/1/93490
DOI: 10.1002/prop.202100028
ISSN: 0015-8208
Publisher: Wiley-VCH Verlag
Start Page: 1
End Page: 11
Journal / Book Title: Fortschritte Der Physik/Progress of Physics
Volume: 69
Issue: 4-5
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.
Sponsor/Funder: Science and Technology Facilities Council (STFC)
Science and Technology Facilities Council (STFC)
Funder's Grant Number: ST/P000762/1
ST/T000791/1
Keywords: Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
RICCI FLOW
T-DUALITY
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
RICCI FLOW
T-DUALITY
math.DG
math.DG
hep-th
math-ph
math.MP
Nuclear & Particles Physics
01 Mathematical Sciences
02 Physical Sciences
Publication Status: Published
Article Number: ARTN 2100028
Online Publication Date: 2021-05-06
Appears in Collections:Physics
Theoretical Physics



This item is licensed under a Creative Commons License Creative Commons