Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-09-20
Phys.Lett. B471 (1999) 171-173
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 5 pages
Scientific paper
Recently the long-standing puzzle about counting the Witten index in N=1 supersymmetric gauge theories was resolved. The resolution was based on existence (for higher orthogonal $SO(N), N \geq 7$ and exceptional gauge groups) of flat connections on $T^{3}$ which have commuting holonomies but cannot be gauged to a Cartan torus. A number of papers has been published which studied moduli spaces and some topological characteristics of those flat connections. In the present letter an explicit description of such flat connection for the basic case of $Spin(7)$ is given.
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