TL;DR
This paper constructs a three-dimensional N=5 harmonic superspace framework for superfield theories, revealing an infinite supermultiplet structure and a superconformal invariant Chern-Simons action with auxiliary fields that vanish on-shell.
Contribution
It introduces a novel N=5 harmonic superspace formulation with SO(5)/U(1) x U(1) harmonics and constructs an invariant superfield Chern-Simons action.
Findings
Superfield Chern-Simons action is invariant under N=6 superconformal symmetry.
Component Lagrangian includes Chern-Simons and auxiliary field interactions.
Auxiliary fields vanish on-shell, simplifying the supermultiplet structure.
Abstract
We construct the D=3, N=5 harmonic superspace using the SO(5)/U(1) x U(1) harmonics. Three gauge harmonic superfields satisfy the off-shell constraints of the Grassmann and harmonic analyticities. The corresponding component supermultiplet contains the gauge field A_m and an infinite number of bosonic and fermionic fields with the SO(5) vector indices arising from decompositions of gauge superfields in harmonics and Grassmann coordinates. The nonabelian superfield Chern-Simons action is invariant with respect to the N=6 superconformal supersymmetry realized on the N=5 superfields. The component Lagrangian contains the Chern-Simons interaction of A_m and an infinite number of bilinear and trilinear interactions of auxiliary fields. The fermionic and bosonic auxiliary fields from the infinite N=5 multiplet vanish on-shell.
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