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 |
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Keywords
- ChernSimons Theories
- Extended Supersymmetry
- Superspaces
- Supersymmetric gauge theory
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Superfield theories on S 3 and their localization. / Samsonov, I. B.; Sorokin, D.
In: Journal of High Energy Physics, Vol. 2014, No. 4, 102, 2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Superfield theories on S 3 and their localization
AU - Samsonov, I. B.
AU - Sorokin, D.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - ChernSimons Theories
KW - Extended Supersymmetry
KW - Superspaces
KW - Supersymmetric gauge theory
UR - http://www.scopus.com/inward/record.url?scp=84898940437&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84898940437&partnerID=8YFLogxK
U2 - 10.1007/JHEP04(2014)102
DO - 10.1007/JHEP04(2014)102
M3 - Article
VL - 2014
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 4
M1 - 102
ER -