Superfield theories on S 3 and their localization

I. B. Samsonov, D. Sorokin

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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 languageEnglish
Article number102
JournalJournal of High Energy Physics
Issue number4
Publication statusPublished - 2014
Externally publishedYes


  • ChernSimons Theories
  • Extended Supersymmetry
  • Superspaces
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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