On the instantons and the hypermultiplet mass of \(\mathcal{N} = {{2}^{\ast}}\) super Yang-Mills on \(S^{4}\)

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Publication:2340765

DOI10.1007/JHEP03(2012)017zbMATH Open1309.81168arXiv1004.1222MaRDI QIDQ2340765

Author name not available (Why is that?)

Publication date: 20 April 2015

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1004.1222



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