Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry

Abstract

We derive lattice actions for Yang-Mills quantum mechanics for models with $\text{cQ}=4,8$ 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.

Comments: 24 pages, minor corrections, published version