Hamilton-Jacobi Method and Effective Actions of D-brane and M-brane in Supergravity

Details Hamilton-Jacobi Method and Effective Actions of D-brane and M-brane in Supergravity Hamilton-Jacobi Method and Effective Actions of D-brane and M-brane in Supergravity

2003-05-12

arxiv.org/abs/hep-th/0305090v3

Nucl.Phys. B671 (2003) 293-324

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, introduction is revised, references added, to appear in Nucl. Phys. B

Scientific paper

We show that the effective actions of D-brane and M-brane are solutions to the Hamilton-Jacobi (H-J) equations in supergravities. This fact means that these effective actions are on-shell actions in supergravities. These solutions to the H-J equations reproduce the supergravity solutions that represent D-branes in a $B_2$ field, M2 branes and the M2-M5 bound states. The effective actions in these solutions are those of a probe D-brane and a probe M-brane. Our findings can be applied to the study of the gauge/gravity correspondence, especially the holographic renormalization group, and a search for new solutions of supergravity.

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