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

Marc Andre Heller, Noriaki Ikeda, Satoshi Watamura

研究成果: Article査読

20 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号78
ジャーナルJournal of High Energy Physics
2017
2
DOI
出版ステータスPublished - 2017 2月 1

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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