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Gauge Model in D=3, N=5 Harmonic Superspace

2007/08/29 by Б. М. Зупник, B. M. Zupnik, Zupnik, B. M. · 1 citation
Engineering · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.0708.3951

Latex file, 8 pages, Talk at the workshop "Supersymmetries and Quantum Symmetries", July 30 - August 4, 2007, Dubna, JINR

arxiv created 2007/08/29 · openalex publication_date 2007/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Am, the additional nongauge vector field Bm, 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 Am with Bm, S and other basic and auxiliary fields. All auxiliary fields can be excluded from this Lagrangian.

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