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

TL;DR

This paper develops a gauge superfield framework in D=3, N=5 harmonic superspace, constructing a Chern-Simons action that includes an infinite spectrum of fields and exhibits extended supersymmetry.

Contribution

It introduces the first construction of Grassmann-analytic gauge superfields in D=3, N=5 harmonic superspace with a nonabelian Chern-Simons action invariant under extended supersymmetry.

Findings

Constructed the Grassmann-analytic gauge superfields in D=3, N=5 harmonic superspace.

Developed a nonabelian Chern-Simons-type action invariant under sixth supersymmetry.

Derived the component Lagrangian describing scale-invariant interactions of gauge fields.

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.