New Gaugings and Non-Geometry

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Title: New Gaugings and Non-Geometry
Authors: Lee, K
Strickland-Constable, C
Waldram, D
Item Type: Journal Article
Abstract: We discuss the possible realisation in string/M theory of the recently discovered family of four-dimensional maximal math formula gauged supergravities, and of an analogous family of seven-dimensional half-maximal math formula gauged supergravities. We first prove a no-go theorem that neither class of gaugings can be realised via a compactification that is locally described by ten- or eleven-dimensional supergravity. In the language of Double Field Theory and its M theory analogue, this implies that the section condition must be violated. Introducing the minimal number of additional coordinates possible, we then show that the standard S3 and S7 compactifications of ten- and eleven-dimensional supergravity admit a new class of section-violating generalised frames with a generalised Lie derivative algebra that reproduces the embedding tensor of the math formula and math formula gaugings respectively. The physical meaning, if any, of these constructions is unclear. They highlight a number of the issues that arise when attempting to apply the formalism of Double Field Theory to non-toroidal backgrounds. Using a naive brane charge quantisation to determine the periodicities of the additional coordinates restricts the math formula gaugings to an infinite discrete set and excludes all the math formula gaugings other than the standard one.
Issue Date: 21-Jul-2017
Date of Acceptance: 19-Jul-2017
URI: http://hdl.handle.net/10044/1/56872
DOI: https://dx.doi.org/10.1002/prop.201700049
ISSN: 0015-8208
Publisher: Wiley-VCH Verlag
Journal / Book Title: Fortschritte der Physik / Progress of Physics
Volume: 65
Issue: 10-11
Copyright Statement: © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. K. Lee, C. Strickland-Constable, D. Waldram, Fortschr. Phys. 2017, 65, 1700049.
Keywords: Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
String theory
Generalised geometry
Non geometric backgrounds
Gauged supergravity
Double field theory
DOUBLE FIELD-THEORY
DUALITY
SUPERGRAVITIES
hep-th
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: 1700049
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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