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arXiv · hep-th/0310125

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

Matsuo Sato·Asato Tsuchiya
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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.

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Matsuo Sato, Asato Tsuchiya. 2004-01-05. A Note on Hamilton-Jacobi Formalism and D-brane Effective Actions. https://doi.org/10.1016/j.physletb.2003.11.008

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