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  Supersymmetry with non-geometric fluxes, or a beta-twist in Generalized Geometry and Dirac operator

Andriot, D., & Betz, A. (2015). Supersymmetry with non-geometric fluxes, or a beta-twist in Generalized Geometry and Dirac operator. Journal of high energy physics: JHEP, 2015(04): 006. doi:10.1007/JHEP04(2015)006.

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 Creators:
Andriot, David1, Author           
Betz, Andre, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematics, Differential Geometry, math.DG
 Abstract: We study ten-dimensional supersymmetric vacua with NSNS non-geometric fluxes, in the framework of \beta-supergravity. We first provide expressions for the fermionic supersymmetry variations. Specifying a compactification ansatz to four dimensions, we deduce internal Killing spinor equations. These supersymmetry conditions are then reformulated in terms of pure spinors, similarly to standard supergravity vacua admitting an SU(3)xSU(3) structure in Generalized Complex Geometry. The standard d-H acting on the pure spinors is traded for a generalized Dirac operator D, depending here on the non-geometric fluxes. Rewriting it with an exponential of the bivector \beta leads us to discuss the geometrical characterisation of the vacua in terms of a \beta-twist, in analogy to the standard twist by the b-field. Thanks to D, we also propose a general expression for the superpotential to be obtained from standard supergravities or \beta-supergravity, and verify its agreement with formulas of the literature. We finally comment on the Ramond-Ramond sector, and discuss a possible relation to intermediate or dynamical SU(2) structure solutions.

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 Dates: 2014-11-242015
 Publication Status: Issued
 Pages: 25 pages + appendices and references
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1411.6640
DOI: 10.1007/JHEP04(2015)006
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2015 (04) Sequence Number: 006 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002