Gauge Model in D=3, N=5 Harmonic Superspace
Abstract
We construct the Grassmann-analytic gauge superfields in D=3, N=5 harmonic superspace using the SO(5)/U(1)xU(1) harmonics. These gauge N=5 superfields contain an infinite number of bosonic and fermionic fields arising from decompositions in harmonics and Grassmann coordinates. The bosonic sector of this supermultiplet includes the gauge field A_m, the additional nongauge vector field B_m, the scalar field S, two SO(5)-vector scalar fields and an infinite number of auxiliary fields with SO(5) indices. The nonabelian Chern-Simons-type action in the N=5 analytic harmonic superspace is constructed. This action is also invariant with respect to the sixth supersymmetry realized on the N=5 gauge superfields. The component Lagrangian describes the scale-invariant nontrivial interactions of the gauge Chern-Simons field A_m with B_m, S and other basic and auxiliary fields. All auxiliary fields can be excluded from this Lagrangian.
Cite
@article{arxiv.0708.3951,
title = {Gauge Model in D=3, N=5 Harmonic Superspace},
author = {B. M. Zupnik},
journal= {arXiv preprint arXiv:0708.3951},
year = {2007}
}
Comments
Latex file, 8 pages, Talk at the workshop "Supersymmetries and Quantum Symmetries", July 30 - August 4, 2007, Dubna, JINR