Matrix Supermultiplet of N=2, D=4 Supersymmetry and Supersymmetric 3-brane

Details Matrix Supermultiplet of N=2, D=4 Supersymmetry and Supersymmetric 3-brane Matrix Supermultiplet of N=2, D=4 Supersymmetry and Supersymmetric 3-brane

2002-12-26

arxiv.org/abs/hep-th/0212311v1

Phys.Lett. B552 (2003) 273-279

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX, to be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(02)03165-9

It is shown that the Lagrangian density of the supersymmetric 3-brane can be regarded as a component of an infinite-dimensional supermultiplet of N=2, D=4 supersymmetry spontaneously broken down to N=1. The latter is described by N=1 Hermitian bosonic matrix superfield V_{mn} = V^\dagger_{nm}, [V_{mn}] = m+n, m,n=0,1,... in which the component V_{01} is identified with a chiral Goldstone N=1 multiplet associated with central charge of the N=2, D=4 superalgebra, and V_{11} obeys a specific nonlinear recursive equation providing the possibility to express V_{11} (as well as the other components V_{mn}) covariantly in terms of V_{01}. We demonstrate that the solution of V_{11} gives the right \emph{PBGS} action for the super-3-brane.

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