Supersymmetric gauge theories onS4×S1

2012/07/31 by S. TERASHIMA, Seiji Terashima · 45 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #hep-th

paper · pdf · doi:10.1103/physrevd.89.125001

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 89(12) (American Physical Society) · 17 pages, corrected typos, references added, published version

openalex publication_date 2014/06/03 · arxiv created 2014/10/14 · arxiv updated 2014/10/15 · openalex created_date 2016/07/22 · openalex updated_date 2026/08/05

Abstract

We construct a supersymmetric gauge theory on S⁴\ifmmode×\else\texttimes\fiS¹. We find a consistent supersymmetry transformation which reduces to the 4D N=2 supersymmetry transformation studied by Pestun by the dimensional reduction on S¹. We find that there is no analogue of the usual Yang-Mills action except in the 4D limit. We also apply the localization technique to the partition function of the theories.

Citations

• Supersymmetric gauge theories on the five-sphere
• On the instantons and the hypermultiplet mass of N = 2 ^* super Yang-Mills on S 4

Cited by

• Rigid 4D N = 2 N=2 supersymmetric backgrounds and actions