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Exactly marginal deformations from exceptional generalised geometry

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1605.05730v1.pdfAccepted version740.6 kBAdobe PDFView/Open
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Title: Exactly marginal deformations from exceptional generalised geometry
Authors: Ashmore, A
Gabella, M
Grana, M
Petrini, M
Waldram, D
Item Type: Journal Article
Abstract: We apply exceptional generalised geometry to the study of exactly marginal deformations of NN = 1 SCFTs that are dual to generic AdS5 flux backgrounds in type IIB or eleven-dimensional supergravity. In the gauge theory, marginal deformations are parametrised by the space of chiral primary operators of conformal dimension three, while exactly marginal deformations correspond to quotienting this space by the complexified global symmetry group. We show how the supergravity analysis gives a geometric interpretation of the gauge theory results. The marginal deformations arise from deformations of generalised structures that solve moment maps for the generalised diffeomorphism group and have the correct charge under the generalised Reeb vector, generating the R-symmetry. If this is the only symmetry of the background, all marginal deformations are exactly marginal. If the background possesses extra isometries, there are obstructions that come from fixed points of the moment maps. The exactly marginal deformations are then given by a further quotient by these extra isometries. Our analysis holds for any NN = 2 AdS5 flux background. Focussing on the particular case of type IIB Sasaki-Einstein backgrounds we recover the result that marginal deformations correspond to perturbing the solution by three-form flux at first order. In various explicit examples, we show that our expression for the three-form flux matches those in the literature and the obstruction conditions match the one-loop beta functions of the dual SCFT.
Issue Date: 27-Jan-2017
Date of Acceptance: 22-Jan-2017
URI: http://hdl.handle.net/10044/1/52508
DOI: https://dx.doi.org/10.1007/JHEP01(2017)124
ISSN: 1029-8479
Publisher: Springer Verlag (Germany)
Journal / Book Title: Journal of High Energy Physics
Volume: 2017
Issue: 1
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
ST/L00044X/1
EP/N007158/1
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
AdS-CFT Correspondence
Flux compactifications
SASAKI-EINSTEIN MANIFOLDS
SUPERGRAVITY
hep-th
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: 124
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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