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

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

2010-04-08

arxiv.org/abs/1004.1222v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

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.

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