Simple Singularities and N=2 Supersymmetric Yang-Mills Theory

Details Simple Singularities and N=2 Supersymmetric Yang-Mills Theory Simple Singularities and N=2 Supersymmetric Yang-Mills Theory

1994-11-07

arxiv.org/abs/hep-th/9411048v3

Phys.Lett. B344 (1995) 169-175

Physics

High Energy Physics

High Energy Physics - Theory

13p, harvmac/lanlmac with hyperlinks 1 uuencoded PostScript figure appended (Some inconsistencies and typos were corrected, we

Scientific paper

10.1016/0370-2693(94)01516-F

We present a first step towards generalizing the work of Seiberg and Witten on N=2 supersymmetric Yang-Mills theory to arbitrary gauge groups. Specifically, we propose a particular sequence of hyperelliptic genus $n-1$ Riemann surfaces to underly the quantum moduli space of $SU(n)$ N=2 supersymmetric gauge theory. These curves have an obvious generalization to arbitrary simply laced gauge groups, which involves the A-D-E type simple singularities. To support our proposal, we argue that the monodromy in the semiclassical regime is correctly reproduced. We also give some remarks on a possible relation to string theory.

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