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Dirac equation for the supermembrane in a background with fluxes from a component description of the D = 11 supergravity-supermembrane interacting system

Igor A. Bandos1,2 and José A. de Azcárraga1

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We present a simple derivation of the `Dirac' equation for the supermembrane fermionic field in a D = 11 supergravity background with fluxes by using a complete but gauge-fixed description of the supergravity-supermembrane interacting system previously developed. We also discuss the contributions linear in the supermembrane fermions — the Goldstone fields for the local supersymmetry spontaneously broken by the superbrane — to the field equations of the supergravity-supermembrane interacting system. The approach could also be applied to more complicated dynamical systems such as those involving the M5-brane and the D = 10 Dirichlet branes.

Keywords

M-Theory

p-branes

Space-Time Symmetries

Supergravity Models

 

E-print Number: hep-th/0507197

Cited: by |

Refers: to

PACS

04.65.+e Supergravity

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

11.30.Pb Supersymmetry

11.30.Qc Spontaneous and radiative symmetry breaking

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 09 (September 2005)

Received 27 July 2005, accepted for publication 3 September 2005

Published 26 September 2005



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