On the instantons and the hypermultiplet mass of N = 2 ^* super Yang-Mills on S 4

2010/04/08 by Takuya Okuda, Vasily Pestun · 92 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge theory #Instanton #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Yang–Mills existence and mass gap #hep-th

paper · pdf · doi:10.1007/jhep03(2012)017

published in Journal of High Energy Physics 2012(3) (Springer Nature) · 9 pages

arxiv created 2010/04/08 · openalex publication_date 2012/03/01 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show that the physical N=4 super Yang-Mills theory on a four-sphere with an arbitrary gauge group receives no instanton contributions, by clarifying the relation between the hypermultiplet mass and the equivariant parameters of the mass-deformed theory preserving N=2 supersymmetry. The correct relation also implies that N=4 superconformal Yang-Mills theory with gauge group SU(2) corresponds to Liouville theory on a torus with the insertion of a non-trivial operator, rather than the identity as have been claimed in the literature.

Citations

• On certain aspects of string theory/gauge theory correspondence
• An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Cubic curves from instanton counting
• The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills

Cited by

• A brief review of the 2d/4d correspondences *
• Holography for N N = 2* on S 4
• Supersymmetric gauge theories onS4×S1
• Deformed N=2 theories, generalized recursion relations and S-duality