Abstract
We consider the superfield formulation of supersymmetric gauge and matter field theories on a three-dimensional sphere with rigid N= 2 supersymmetry, as well as with N>2. The construction is based on a supercoset SU(2|1)/U(1) containing S 3 as the bosonic subspace. We derive an explicit form of SU(2|1)/U(1) supervielbein and covariant derivatives, and use them to construct classical superfield actions for gauge and matter supermultiplets in this superbackground. We then apply superfield methods for computing one-loop partition functions of these theories and demonstrate how the localization technique works directly in the superspace.
| Original language | English |
|---|---|
| Article number | 102 |
| Journal | Journal of High Energy Physics |
| Volume | 2014 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2014 |
| Externally published | Yes |
Keywords
- ChernSimons Theories
- Extended Supersymmetry
- Superspaces
- Supersymmetric gauge theory
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Samsonov, I. B., & Sorokin, D. (2014). Superfield theories on S 3 and their localization. Journal of High Energy Physics, 2014(4), [102]. https://doi.org/10.1007/JHEP04(2014)102