Supersymmetric Chern-Simons models in harmonic superspaces
B.M. Zupnik
TL;DR
This paper reviews the construction of supersymmetric Chern-Simons models within harmonic superspaces for various supersymmetries, highlighting the use of harmonic coordinates and superfield actions for off-shell formulations.
Contribution
It introduces harmonic superspace formulations for D=3, N=3, 4, and 5 supersymmetric Chern-Simons models, including the off-shell supermultiplet description for N=5.
Findings
Harmonic superspaces facilitate off-shell formulations of supersymmetric gauge models.
Superfield actions for N=5 describe infinite-dimensional Chern-Simons supermultiplets.
The approach unifies different supersymmetries within harmonic superspace frameworks.
Abstract
We review harmonic superspaces of the D=3, N=3 and 4 supersymmetries and gauge models in these superspaces. Superspaces of the D=3, N=5 supersymmetry use harmonic coordinates of the SO(5) group. The superfield N=5 actions describe the off-shell infinite-dimensional Chern-Simons supermultiplet.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Advanced Mathematical Physics Problems