TY - JOUR

T1 - Simple singularities and N = 2 supersymmetric Yang-Mills theory

AU - Klemm, A.

AU - Lerche, W.

AU - Yankielowicz, S.

AU - Theisen, S.

N1 - Funding Information:
’ On leave of absence from the School of Physics, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University. 2 Work supported in part by the US-Israel Binational Science Foundation and GIF - the German-Israeli Foundation for Scientific Research.

PY - 1995/1/26

Y1 - 1995/1/26

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0043290689&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(94)01516-F

DO - 10.1016/0370-2693(94)01516-F

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AN - SCOPUS:0043290689

SN - 0370-2693

VL - 344

SP - 169

EP - 175

JO - Physics Letters B

JF - Physics Letters B

IS - 1-4

ER -