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

Bugden, Mark; Hulik, Ondrej; Valach, Fridrich; Waldram, Daniel

doi:https://www.dx.doi.org/10.1002/prop.202100028

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Fortschritte der Physik - 2021 - Bugden - G‐Algebroids A Unified Framework for Exceptional and Generalised Geometry and.pdf (666.46 KB)

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Author(s)

Bugden, Mark

Hulik, Ondrej

Valach, Fridrich

Waldram, Daniel

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.

Date Issued

2021-05-06

Date Acceptance

2021-05-01

Citation

Fortschritte Der Physik/Progress of Physics, 2021, 69 (4-5), pp.1-11

URI

http://hdl.handle.net/10044/1/93490

URL

https://onlinelibrary.wiley.com/doi/10.1002/prop.202100028

DOI

https://www.dx.doi.org/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.

License URL

http://creativecommons.org/licenses/by/4.0/

Sponsor

Science and Technology Facilities Council (STFC)

Identifier

http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000647469100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202

Grant Number

ST/P000762/1

ST/T000791/1

Subjects

Science & Technology

Physical Sciences

Physics, Multidisciplinary

Physics

RICCI FLOW

T-DUALITY

Publication Status

Published

Article Number

ARTN 2100028

Date Publish Online

2021-05-06