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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
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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 $SU(N)\times SU(N)$ 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.

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A. De Castro, M. P. Garcia del Moral, I. Martin, A. Restuccia. 2003-06-11. M5-brane as a Nambu-Poisson geometry of a Multi D1-brane theory. https://doi.org/10.1016/j.physletb.2004.01.034

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