D-particle bound states and generalized instantons

Abstract

We compute the principal contribution to the index in the supersymmetric quantum mechanical systems which are obtained by reduction to 0+1 dimensions of $\mathcal{N}=1$, $D=4,6,10$ super-Yang-Mills theories with gauge group SU(N). The results are: $\frac{1}{N^2}$ for $D=4,6$, ${\sum }_{d|N}\frac{1}{d^2}$ for D=10. We also discuss the D=3 case.

harvmac, 24 pages; v2. references added, typos corrected; v3. one more reference added

References in corpus (4)

• Integrating Over Higgs Branches
• Monte Carlo Approach to M-Theory
• Chern-Simons and Twisted Supersymmetry in Higher Dimensions
• Topological Matrix Model

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