D-brane on Poisson manifold and generalized geometry

Author:

Asakawa Tsuguhiko1,Muraki Hisayoshi2,Watamura Satoshi2

Affiliation:

1. Department of Integrated Design Engineering, Maebashi Institute of Technology, 371-0816, Maebashi, Japan

2. Department of Physics, Tohoku University, 980-8578, Sendai, Japan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

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

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Drinfel’d double of bialgebroids for string and M theories: dual calculus framework;Journal of High Energy Physics;2024-07-03

2. Poisson-Lie T-duality defects and target space fusion;Journal of High Energy Physics;2022-11-29

3. Quantized Kähler Geometry and Quantum Gravity;Journal of the Korean Physical Society;2018-06

4. Gravity theory on Poisson manifold with R -flux;Fortschritte der Physik;2015-11

5. Poisson-generalized geometry and R-flux;International Journal of Modern Physics A;2015-06-20

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