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Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry

arXiv:0712.3074 · doi:10.1103/PhysRevD.77.094504

Abstract

We derive lattice actions for Yang-Mills quantum mechanics for models with $\cQ=4, 8$ and 16 supercharges which possess an exact supersymmetry at non-zero lattice spacing. These are obtained by dimensional reduction of twisted versions of the corresponding super Yang-Mills theories in $D=2, 3$ and 4 dimensions.

24 pages, minor corrections, published version