D-branes in Generalized Geometry and Dirac-Born-Infeld Action

Abstract

The purpose of this paper is to formulate the Dirac-Born-Infeld (DBI) action in a framework of generalized geometry and clarify its symmetry. A D-brane is defined as a Dirac structure where scalar fields and gauge field are treated on an equal footing in a static gauge. We derive generalized Lie derivatives corresponding to the diffeomorphism and B-field gauge transformations and show that the DBI action is invariant under non-linearly realized symmetries for all types of diffeomorphisms and B-field gauge transformations. Consequently, we can interpret not only the scalar field but also the gauge field on the D-brane as the generalized Nambu-Goldstone boson.

32 pages, 4 figures, ver2:typos corrected, references added

References in corpus (6)

• Double Field Theory
• Lectures on Generalized Complex Geometry for Physicists
• Effective String Theory Revisited
• T-duality for principal torus bundles
• Deformations of calibrated D-branes in flux generalized complex manifolds
• Generalized geometry, calibrations and supersymmetry in diverse dimensions

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• Extended generalized geometry and a DBI-type effective action for branes ending on branes
• Duality, generalized global symmetries and jet space isometries
• Poisson-Lie T-duality defects and target space fusion
• The invariant action for solitonic 5-branes
• Towards a T-dual Emergent Gravity