Supersymmetric Yang-Mills quantum mechanics in various dimensions

Details Supersymmetric Yang-Mills quantum mechanics in various dimensions Supersymmetric Yang-Mills quantum mechanics in various dimensions

2004-10-06

arxiv.org/abs/hep-th/0410066v1

Int.J.Mod.Phys. A20 (2005) 4484-4491

Physics

High Energy Physics

High Energy Physics - Theory

Talk presented at the Eighth Workshop on Non-Perturbative QCD, Paris, June 2004; 8 pages, 4 figures

Scientific paper

10.1142/S0217751X05028107

Recent analytical and numerical solutions of the above systems are reviewed. Discussed results include: a) exact construction of the supersymmetric vacua in two space-time dimensions, and b) precise numerical calculations of the coexisting continuous and discrete spectra in the four-dimensional system, together with the identification of dynamical supermultiplets and SUSY vacua. New construction of the gluinoless SO(9) singlet state, which is vastly different from the empty state, in the ten-dimensional model is also briefly summarized.

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