Flat connections with non-diagonalizable holonomies

K. Selivanov
1999 Physics Letters B  
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
more » ... an explicit description of such flat connection for the basic case of $Spin(7)$ is given.
doi:10.1016/s0370-2693(99)01372-6 fatcat:fjqgadppkrfo7jk5htu7gurage