Consistent Pauli reduction on group manifolds
We prove an old conjecture by Duff, Nilsson, Pope and Warner asserting that the NSNS 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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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 NSNS 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 NSNS 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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1725369682881413120 |