Superfield theories on S 3 and their localization

I. B. Samsonov, D. Sorokin

Research output: Contribution to journalArticle

13 Citations (Scopus)

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 languageEnglish
Article number102
JournalJournal of High Energy Physics
Volume2014
Issue number4
DOIs
Publication statusPublished - 2014
Externally publishedYes

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Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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