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arXiv · 0802.0801

Chern-Simons theory in the SO(5)/U(2) harmonic superspace

B. M. Zupnik
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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.

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B. M. Zupnik. 2008-10-23. Chern-Simons theory in the SO(5)/U(2) harmonic superspace. https://doi.org/10.1007/s11232-008-0129-1

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