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

Abstract

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.

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

References in corpus (2)

• Born-Infeld Action from Supergravity
• Hamilton-Jacobi Method and Effective Actions of D-brane and M-brane in Supergravity

Cited by in corpus (5)

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• Comment on "ADM reduction of IIB on $H^{p,q}$ to dS braneworld"