M5-brane as a Nambu-Poisson geometry of a Multi D1-brane theory

A. De Castro; M. P. Garcia del Moral; I. Martin; A. Restuccia

doi:10.1016/j.physletb.2004.01.034

paper

M5-brane as a Nambu-Poisson geometry of a Multi D1-brane theory

arXiv:hep-th/0306094 · doi:10.1016/j.physletb.2004.01.034

Abstract

We introduce a Nambu-Poisson bracket in the geometrical description of the D=11 M5-brane. This procedure allows us, under some assumptions, to eliminate the local degrees of freedom of the antisymmetric field in the M5-brane Hamiltonian and to express it as a D=11 p-brane theory invariant under symplectomorphisms. A regularization of the M5-brane in terms of a multi D1-brane theory invariant under the $S U (N) \times S U (N)$ group in the limit when $N \to \infty$ is proposed. Also, a regularization for the D=10 D4-brane in terms of a multi D0-brane theory is suggested.

14 pages, no figures, revtex