Gravity theory on Poisson manifold with R-flux

Tsuguhiko Asakawa, Hisayoshi Muraki, Satoshi Watamura

研究成果: Article査読

11 被引用数 (Scopus)

抄録

A novel gravity theory based on Poisson Generalized Geometry is investigated. A gravity theory on a Poisson manifold equipped with a Riemannian metric is constructed from a contravariant version of the Levi-Civita connection, which is based on the Lie algebroid of a Poisson manifold. Then, we show that in Poisson Generalized Geometry the R-fluxes are consistently coupled with such a gravity. An R-flux appears as a torsion of the corresponding connection in a similar way as an H-flux which appears as a torsion of the connection formulated in the standard Generalized Geometry. We give an analogue of the Einstein-Hilbert action coupled with an R-flux, and show that it is invariant under both β-diffeomorphisms and β-gauge transformations. A novel gravity theory based on Poisson Generalized Geometry is investigated. To this end a gravity theory on a Poisson manifold equipped with a Riemannian metric is constructed from a contravariant version of the Levi-Civita connection, which is based on the Lie algebroid of a Poisson manifold. It is shown that in Poisson Generalized Geometry the R-fluxes are consistently coupled with such a gravity. An R-flux appears as a torsion of the corresponding connection in a similar way as an H-flux which appears as a torsion of the connection formulated in the standard Generalized Geometry. An analogue of the Einstein-Hilbert action coupled with an R-flux is given.It turns out to be invariant under both β-diffeomorphisms and β-gauge transformations.

本文言語English
ページ(範囲)683-704
ページ数22
ジャーナルFortschritte der Physik
63
11-12
DOI
出版ステータスPublished - 2015 11

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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