Isolated vacua in supersymmetric Yang-Mills theories
A. Keurentjes, A. Rosly, A.V. Smilga
TL;DR
This paper proves the existence of nontrivial vacua in pure supersymmetric Yang-Mills theories with certain gauge groups on a 3-torus, showing these vacua are separated by energy barriers from the trivial vacuum.
Contribution
It provides an explicit proof of nontrivial vacua in specific supersymmetric Yang-Mills theories with higher orthogonal and G_2 gauge groups.
Findings
Existence of nontrivial vacua in SO(N) and G_2 theories.
Vacua are separated by energy barriers from the trivial vacuum.
Vacua are defined on a 3-torus with periodic boundary conditions.
Abstract
An explicit proof of the existence of nontrivial vacua in the pure supersymmetric Yang-Mills theories with higher orthogonal SO(N), N>=7 or the G_2 gauge group defined on a 3-torus with periodic boundary conditions is given. Extra vacuum states are separated by an energy barrier from the perturbative vacuum A_i=0 and its gauge copies.
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