The exceptional generalised geometry of supersymmetric AdS flux backgrounds

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Title: The exceptional generalised geometry of supersymmetric AdS flux backgrounds
Authors: Ashmore, A
Petrini, M
Waldram, D
Item Type: Journal Article
Abstract: We analyse generic AdS flux backgrounds preserving eight supercharges in D = 4 and D = 5 dimensions using exceptional generalised geometry. We show that they are described by a pair of globally defined, generalised structures, identical to those that appear for flat flux backgrounds but with different integrability conditions. We give a number of explicit examples of such “exceptional Sasaki-Einstein” backgrounds in type IIB supergravity and M-theory. In particular, we give the complete analysis of the generic AdS5 M-theory backgrounds. We also briefly discuss the structure of the moduli space of solutions. In all cases, one structure defines a “generalised Reeb vector” that generates a Killing symmetry of the background corresponding to the R-symmetry of the dual field theory, and in addition encodes the generic contact structures that appear in the D = 4 M-theory and D = 5 type IIB cases. Finally, we investigate the relation between generalised structures and quantities in the dual field theory, showing that the central charge and R-charge of BPS wrapped-brane states are both encoded by the generalised Reeb vector, as well as discussing how volume minimisation (the dual of a- and FF-maximisation) is encoded.
Issue Date: 29-Dec-2016
Date of Acceptance: 18-Dec-2016
ISSN: 1029-8479
Publisher: Springer Verlag (Germany)
Journal / Book Title: Journal of High Energy Physics
Volume: 2016
Issue: 12
Copyright Statement: Open Access, © The Authors. Article funded by SCOAP3
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Science and Technology Facilities Council (STFC)
Engineering & Physical Science Research Council (E
Funder's Grant Number: EP/K034456/1
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Flux compactifications
AdS-CFT Correspondence
Differential and Algebraic Geometry
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: 146
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences

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