Simple singularities and N = 2 supersymmetric Yang-Mills theory
1995; Elsevier BV; Volume: 344; Issue: 1-4 Linguagem: Inglês
10.1016/0370-2693(94)01516-f
ISSN1873-2445
AutoresAlbrecht Klemm, W. Lerche, S. Yankielowicz, Stefan Theisen,
Tópico(s)Algebraic structures and combinatorial models
ResumoWe 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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