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

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.

9 pages

References in corpus (8)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry
• Gauge Theory Loop Operators and Liouville Theory
• Recursion relations in CFT and N=2 SYM theory
• Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
• On certain aspects of string theory/gauge theory correspondence
• Modular bootstrap in Liouville field theory
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