Consistent Pauli reduction on group manifolds

We prove an old conjecture by Duff, Nilsson, Pope and Warner asserting that the NSNS sector of supergravity (and more general the bosonic string) allows for a consistent Pauli reduction on any d-dimensional group manifold G, keeping the full set of gauge bosons of the G×G isometry group of the bi-i...

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Main Authors:	A. Baguet, C.N. Pope, H. Samtleben
Format:	Article
Language:	English
Published:	Elsevier 2016-01-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269315009181

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spelling	doaj-c5f48a6fa9554418aa4debce1936cbfc2020-11-25T00:19:56ZengElsevierPhysics Letters B0370-26931873-24452016-01-01752C27828410.1016/j.physletb.2015.11.062Consistent Pauli reduction on group manifoldsA. Baguet0C.N. Pope1H. Samtleben2Université de Lyon, Laboratoire de Physique, UMR 5672, CNRS et ENS de Lyon, 46 allée d'Italie, F-69364 Lyon Cedex 07, FranceGeorge P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX 77843-4242, USAUniversité de Lyon, Laboratoire de Physique, UMR 5672, CNRS et ENS de Lyon, 46 allée d'Italie, F-69364 Lyon Cedex 07, FranceWe prove an old conjecture by Duff, Nilsson, Pope and Warner asserting that the NSNS sector of supergravity (and more general the bosonic string) allows for a consistent Pauli reduction on any d-dimensional group manifold G, keeping the full set of gauge bosons of the G×G isometry group of the bi-invariant metric on G. The main tool of the construction is a particular generalised Scherk–Schwarz reduction ansatz in double field theory which we explicitly construct in terms of the group's Killing vectors. Examples include the consistent reduction from ten dimensions on S3×S3 and on similar product spaces. The construction is another example of globally geometric non-toroidal compactifications inducing non-geometric fluxes.http://www.sciencedirect.com/science/article/pii/S0370269315009181
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Baguet C.N. Pope H. Samtleben
spellingShingle	A. Baguet C.N. Pope H. Samtleben Consistent Pauli reduction on group manifolds Physics Letters B
author_facet	A. Baguet C.N. Pope H. Samtleben
author_sort	A. Baguet
title	Consistent Pauli reduction on group manifolds
title_short	Consistent Pauli reduction on group manifolds
title_full	Consistent Pauli reduction on group manifolds
title_fullStr	Consistent Pauli reduction on group manifolds
title_full_unstemmed	Consistent Pauli reduction on group manifolds
title_sort	consistent pauli reduction on group manifolds
publisher	Elsevier
series	Physics Letters B
issn	0370-2693 1873-2445
publishDate	2016-01-01
description	We prove an old conjecture by Duff, Nilsson, Pope and Warner asserting that the NSNS sector of supergravity (and more general the bosonic string) allows for a consistent Pauli reduction on any d-dimensional group manifold G, keeping the full set of gauge bosons of the G×G isometry group of the bi-invariant metric on G. The main tool of the construction is a particular generalised Scherk–Schwarz reduction ansatz in double field theory which we explicitly construct in terms of the group's Killing vectors. Examples include the consistent reduction from ten dimensions on S3×S3 and on similar product spaces. The construction is another example of globally geometric non-toroidal compactifications inducing non-geometric fluxes.
url	http://www.sciencedirect.com/science/article/pii/S0370269315009181
work_keys_str_mv	AT abaguet consistentpaulireductionongroupmanifolds AT cnpope consistentpaulireductionongroupmanifolds AT hsamtleben consistentpaulireductionongroupmanifolds
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Consistent Pauli reduction on group manifolds

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