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arXiv · 1506.03222

Counting the Massive Vacua of N=1* Super Yang-Mills Theory

Antoine Bourget·Jan Troost
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Abstract

We compute the number of massive vacua of N=4 supersymmetric Yang-Mills theory mass-deformed to preserve N=1 supersymmetry, for any gauge group G. We use semi-classical techniques and efficiently reproduce the known counting for A,B and C-type gauge groups, present the generating function for both O(2n) and SO(2n), and compute the supersymmetric index for gauge groups of exceptional type. A crucial role is played by the classification of nilpotent orbits, as well as global properties of their centralizers. We give illustrative examples of new features of our analysis for the D-type algebras.

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Antoine Bourget, Jan Troost. 2015-06-10. Counting the Massive Vacua of N=1* Super Yang-Mills Theory. https://doi.org/10.1007/jhep08(2015)106

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