D-brane on Poisson manifold and Generalized Geometry

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 beta-transformation, respectively. The former gives the standard gauge theory with 2-form field strength. The latter gives a non-standard 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.

39 pages, 5 figures

References in corpus (4)

• The Magnus expansion and some of its applications
• Lectures on Generalized Complex Geometry for Physicists
• Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
• D-branes in Generalized Geometry and Dirac-Born-Infeld Action

Cited by in corpus (8)

• Cosmological Implications from O(D,D)
• Gravity theory on Poisson manifold with $R$-flux
• Poisson-generalized geometry and $R$-flux
• Highly Effective Action from Large N Gauge Fields
• Extended generalized geometry and a DBI-type effective action for branes ending on branes
• Quantized Kähler Geometry and Quantum Gravity
• Poisson-Lie T-duality defects and target space fusion
• Towards a T-dual Emergent Gravity