Chern-Simons theory in the SO(5)/U(2) harmonic superspace
High Energy Physics - Theory
2008-12-25 v3
Abstract
We consider the superspace of D=3, N=5 supersymmetry using SO(5)/U(2) harmonic coordinates. Three analytic N=5 gauge superfields depend on three vector and six harmonic bosonic coordinates and also on six Grassmann coordinates. Decomposition of these superfields in Grassmann and harmonic coordinates yields infinite-dimensional supermultiplets including a three-dimensional gauge Chern-Simons field and auxiliary bosonic and fermionic fields carrying SO(5) vector indices. The superfield action of this theory is invariant with respect to D=3, N=6 conformal supersymmetry realized on N=5 superfields.
Cite
@article{arxiv.0802.0801,
title = {Chern-Simons theory in the SO(5)/U(2) harmonic superspace},
author = {B. M. Zupnik},
journal= {arXiv preprint arXiv:0802.0801},
year = {2008}
}
Comments
Latex file, 17 pages, v2 with minor changes, v3 journal version