D-brane on Poisson manifold and generalized geometry

Tsuguhiko Asakawa, Hisayoshi Muraki, Satoshi Watamura

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

The properties of the D-brane fluctuations are investigated using the two types of deformation of the Dirac structure, based on the B-transformation and the β-transformation, respectively. The former gives the standard gauge theory with two-form field strength. The latter gives a nonstandard gauge theory on the Poisson manifold with bivector field strength and the vector field as a gauge potential, where the gauge symmetry is a diffeomorphism generated by the Hamiltonian vector field. The map between the two gauge theories is also constructed with the help of Moser's Lemma and the Magnus expansion. We also investigate the relation to the gauge theory on the noncommutative D-branes.

Original languageEnglish
Article number1450089
JournalInternational Journal of Modern Physics A
Volume29
Issue number15
DOIs
Publication statusPublished - 2014 Jun 20

Keywords

  • D-brane
  • Generalized geometry
  • Magnus expansion
  • Poisson structure
  • String theory

ASJC Scopus subject areas

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

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