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Non-geometric fluxes and mixed-symmetry potentials

2015/08/04 by Eric Bergshoeff, E. A. Bergshoeff, Bergshoeff, E. A. +9
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research #hep-th

paper · pdf · doi:10.48550/arxiv.1508.00780

19 pages, refs. added

openalex publication_date 2015/08/04 · arxiv created 2015/08/31 · arxiv updated 2015/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the relation between generalised fluxes and mixed-symmetry potentials. We first consider the NS fluxes, and point out that the `non-geometric' R flux is dual to a mixed-symmetry potential with a set of nine antisymmetric indices. We then consider the T-duality family of fluxes whose prototype is the Scherk-Schwarz reduction of the S-dual of the RR scalar of IIB supergravity. Using the relation with mixed-symmetry potentials, we are able to give a complete classification of these fluxes, including the ones that are non-geometric. The non-geometric fluxes again turn out to be dual to potentials containing nine antisymmetric indices. Our analysis suggests that all these fluxes can be understood in the context of double field theory, although for the non-geometric ones one expects a violation of the strong constraint.

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