A Note on Hamilton-Jacobi Formalism and D-brane Effective Actions

Details A Note on Hamilton-Jacobi Formalism and D-brane Effective Actions A Note on Hamilton-Jacobi Formalism and D-brane Effective Actions

2003-10-14

arxiv.org/abs/hep-th/0310125v2

Phys.Lett. B579 (2004) 217-225

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure, section 3 is extended, references added, published version

Scientific paper

We first review the canonical formalism with general space-like hypersurfaces developed by Dirac by rederiving the Hamilton-Jacobi equations which are satisfied by on-shell actions defined on such hypersurfaces. We compare the case of gravitational systems with that of the flat space. Next, we remark as a supplement to our previous results that the effective actions of D-brane and M-brane given by arbitrary embedding functions are on-shell actions of supergravities.

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