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arXiv · hep-th/9704021

Intrinsic Geometry of D-Branes

M. Abou Zeid·C. M. Hull
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Abstract

We obtain forms of Born-Infeld and D-brane actions that are quadratic in derivatives of $X$ and linear in $F_{μν}$ by introducing an auxiliary `metric' which has both symmetric and anti-symmetric parts, generalising the simplification of the Nambu-Goto action for $p$-branes using a symmetric metric. The abelian gauge field appears as a Lagrange multiplier, and solving the constraint gives the dual form of the $n$ dimensional action with an $n-3$ form gauge field instead of a vector gauge field. We construct the dual action explicitly, including cases which could not be covered previously. The generalisation to supersymmetric D-brane actions with local fermionic symmetry is also discussed.

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M. Abou Zeid, C. M. Hull. 1997-05-20. Intrinsic Geometry of D-Branes. https://doi.org/10.1016/s0370-2693(97)00570-4

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