English

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

High Energy Physics - Theory 2015-06-26 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0310125,
  title  = {A Note on Hamilton-Jacobi Formalism and D-brane Effective Actions},
  author = {Matsuo Sato and Asato Tsuchiya},
  journal= {arXiv preprint arXiv:hep-th/0310125},
  year   = {2015}
}

Comments

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

R2 v1 2026-07-22T15:19:33.202Z