Gravity theory on Poisson manifold with R-flux

Tsuguhiko Asakawa, Hisayoshi Muraki, Satoshi Watamura

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)683-704
Number of pages22
JournalFortschritte der Physik
Volume63
Issue number11-12
DOIs
Publication statusPublished - 2015 Nov

Keywords

  • Gravity
  • Non-geometries
  • Poisson Geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Gravity theory on Poisson manifold with R-flux'. Together they form a unique fingerprint.

Cite this