Topological T-duality via Lie algebroids and Q-flux in Poisson-generalized geometry

Tsuguhiko Asakawa, Hisayoshi Muraki, Satoshi Watamura

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

It is known that the topological T-duality exchanges H- and F-fluxes. In this paper, we reformulate the topological T-duality as an exchange of two Lie algebroids in the generalized tangent bundle. Then, we apply the same formulation to the Poisson-generalized geometry, which is introduced [T. Asakawa, H. Muraki, S. Sasa and S. Watamura, Int. J. Mod. Phys. A 30, 1550097 (2015), arXiv:1408.2649 [hep-th]] to define R-fluxes as field strength associated with β-transformations. We propose a definition of Q-flux associated with β-diffeomorphisms, and show that the topological T-duality exchanges R- and Q-fluxes.

Original languageEnglish
Article number1550182
JournalInternational Journal of Modern Physics A
Volume30
Issue number30
DOIs
Publication statusPublished - 2015 Oct 30

Keywords

  • Poisson structure
  • String theory
  • generalized geometry
  • nongeometric flux

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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