Exactly marginal deformations from exceptional generalised geometry
| Autor: | Anthony Ashmore, Daniel Waldram, Michela Petrini, Maxime Gabella, Mariana Graña |
|---|---|
| Přispěvatelé: | Engineering & Physical Science Research Council (EPSRC), Science and Technology Facilities Council (STFC), Engineering & Physical Science Research Council (E, Merton College, University of Oxford, U.K., Institute for Advanced Study [Princeton] (IAS), Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Imperial College London, ANR-11-LABX-0056,LMH,LabEx Mathématique Hadamard(2011), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC) |
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics SASAKI-EINSTEIN MANIFOLDS FOS: Physical sciences Geometry AdS-CFT Correspondence Space (mathematics) 01 natural sciences Conformal dimension Physics Particles & Fields Flux compactifications 0103 physical sciences SUPERGRAVITY Gauge theory 010306 general physics 01 Mathematical Sciences Physics [PHYS]Physics [physics] Science & Technology 02 Physical Sciences 010308 nuclear & particles physics Supergravity hep-th Charge (physics) Global symmetry Nuclear & Particles Physics High Energy Physics - Theory (hep-th) Physical Sciences Diffeomorphism Symmetry (geometry) |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, 2017, 2017, pp.124-134. ⟨10.1007/JHEP01(2017)124⟩ JHEP Journal of High Energy Physics, Springer, 2017, 2017, pp.124-134. ⟨10.1007/JHEP01(2017)124⟩ |
| ISSN: | 1126-6708 1029-8479 |
| DOI: | 10.1007/JHEP01(2017)124⟩ |
| Popis: | We apply exceptional generalised geometry to the study of exactly marginal deformations of $\mathcal{N}=1$ SCFTs that are dual to generic AdS$_5$ 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 $\mathcal{N}=2$ AdS$_5$ 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. Comment: 52 pages |
| Databáze: | OpenAIRE |
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