4.3 Article

Non-geometric fluxes in supergravity and double field theory

Journal

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
Volume 60, Issue 11-12, Pages 1150-1186

Publisher

WILEY-V C H VERLAG GMBH
DOI: 10.1002/prop.201200085

Keywords

General relativity; supergravity; string theory; double field theory

Funding

  1. Alexander-von-Humboldt foundation
  2. DFG Transregional Collaborative Research Centre [TRR 33]
  3. DFG cluster of excellence 'Origin and Structure of the Universe'

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In this paper we propose ten-dimensional realizations of the non-geometric fluxes Q and R. In particular, they appear in the NSNS Lagrangian after performing a field redefinition that takes the form of a T-duality transformation. Double field theory simplifies the computation of the field redefinition significantly, and also completes the higher-dimensional picture by providing a geometrical role for the non-geometric fluxes once the winding derivatives are taken into account. The relation to four-dimensional gauged supergravities, together with the global obstructions of non-geometry, are discussed. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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