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

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• Gravity theory on Poisson manifold with $R$-flux
• Born sigma model for branes in exceptional geometry
• Poisson-generalized geometry and $R$-flux
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• p-Brane Actions and Higher Roytenberg Brackets
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
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• Gauge Transformation of Double Field Theory for Open String
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• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Generalized geometry and nonlinear realization of generalized diffeomorphism on D-brane effective action
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• The invariant action for solitonic 5-branes
• Towards a T-dual Emergent Gravity