Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds

Marc Andre Heller, Noriaki Ikeda, Satoshi Watamura

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We give a systematic derivation of the local expressions of the NS H-flux, geometric F- as well as non-geometric Q- and R-fluxes in terms of bivector β- and two-form B-potentials including vielbeins. They are obtained using a supergeometric method on QP-manifolds by twist of the standard Courant algebroid on the generalized tangent space without flux. Bianchi identities of the fluxes are easily deduced. We extend the discussion to the case of the double space and present a formulation of T-duality in terms of canonical transformations between graded symplectic manifolds. Thus, we find a unified description of geometric as well as non-geometric fluxes and T-duality transformations in double field theory. Finally, the construction is compared to the formerly introduced Poisson Courant algebroid, a Courant algebroid on a Poisson manifold, as a model for R-flux.

Original languageEnglish
Article number78
JournalJournal of High Energy Physics
Volume2017
Issue number2
DOIs
Publication statusPublished - 2017 Feb 1

Keywords

  • Differential and Algebraic Geometry
  • Flux compactifications
  • String Duality

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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