Abstract
We compute the number of massive vacua of \( \mathcal{N}=4 \) supersymmetric Yang-Mills theory on \( {\mathrm{\mathbb{R}}}^4 \) mass-deformed to preserve \( \mathcal{N}=1 \) 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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ArXiv ePrint: 1506.03222
Unité Mixte du CNRS et de l’Ecole Normale Supérieure associée à l’université Pierre et Marie Curie 6, UMR 8549.
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Bourget, A., Troost, J. Counting the massive vacua of \( \mathcal{N}={1}^{\ast } \) super Yang-Mills theory. J. High Energ. Phys. 2015, 106 (2015). https://doi.org/10.1007/JHEP08(2015)106
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DOI: https://doi.org/10.1007/JHEP08(2015)106