Andrei Smilga, (Univ of Nantes), Normalized Supersymmetric Vacuum States in the d-10 Supersymmetric Yang-Mills Quantum Mechanics with any Gauge Group

Nov 20, 1999 Normalized Supersymmetric Vacuum States in the d-10 Supersymmetric Yang-Mills Quantum Mechanics with any Gauge Group Andrei Smilga, (Univ of Nantes) The supersymmetric quantum-mechanical system obtained by dimensional reduction of the 10-dimensional SYM theory involves the continuum spectrum and, on top of that some normalized supersymmetric vacuum states. For the unitary groups, this is seen by 3 different methods: 1. Caculating the Witten index with a functional integral; 2. Asymptotic wave function method and 3. The mass deformation method. The latter method is much simpler than the others. It allows one to obtain the results not only for the unitary, but also for other groups where more than one supersymmetric vacuum state appears. For the E_8 gauge group, there are 11 distinct vacua.
hep-th/9908096

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