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

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.

arXiv comment14 pages, no figures, revtex

References in corpus (9)

• M Theory As A Matrix Model: A Conjecture
• On Foundation of the Generalized Nambu Mechanics
• Covariant Action for the Super-Five-Brane of M-Theory
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• World-Volume Action of the M Theory Five-Brane
• On the spectrum of a matrix model for the D=11 supermembrane compactified on a torus with non-trivial winding
• Symplectic connections, Noncommutative Yang Mills theory and Supermembranes
• Master Canonical Action and BRST Charge of the M Theory Bosonic Five Brane
• Super Five Brane Hamiltonian and the Chiral Degrees of Freedom

Cited by in corpus (6)

• The discrete spectrum of the D=11 bosonic M5-brane
• Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories
• Manifestly Covariant Polynomial M5-brane Lagrangians
• A N=8 action for multiple M2-branes with an arbitrary number of colors
• A New Mechanism for Gauging a Theory
• On the Geometry of Sculpting-like Gauging Processes