Supersymmetric gauge theories on the five-sphere

2012/03/27 by Kazuo Hosomichi, Rak-Kyeong Seong, S. TERASHIMA +1 · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Euclidean geometry #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Geometry #Gravitino #Instanton #Lagrangian #Mathematical physics #Mathematics #Moduli #Moduli space #Noether's theorem #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Supergravity #Supersymmetric gauge theory #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2012.08.007

published as Nucl.Phys.B865:376-396,2012 · 22 pages; v2: a reference added

arxiv created 2012/03/27 · openalex publication_date 2012/08/10 · arxiv updated 2012/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct Euclidean 5d supersymmetric gauge theories on the five-sphere with vector and hypermultiplets. The SUSY transformation and the action are explicitly determined from the standard Noether procedure as well as from off-shell supergravity. Using localization techniques, the path-integral is shown to be restricted to the integration over a generalization of instantons on CP² and the Coulomb moduli.

Citations

• An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Topological quantum field theory

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