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Simple Singularities and N=2 Supersymmetric Yang-Mills Theory

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arxiv hep-th/9411048 v3 pith:5OW4QG3J submitted 1994-11-07 hep-th

A. Klemm , W. Lerche , S. Theisen , S. Yankielowicz This is my paper · ORCID
classification hep-th
keywords theorygaugesupersymmetricarbitrarygroupssimplesingularitiesyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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Cited by 6 Pith papers

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  3. Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics

    hep-th 2026-02 unverdicted novelty 7.0 of 10

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  4. Self-dual monopole loops, instantons and confinement

    hep-th 2025-09 conditional novelty 6.0 of 10

    Interactions among self-dual monopole-like constituents of instantons remove the infrared divergence and, the authors conjecture, drive confinement in 4d Yang-Mills.

  5. Phase Transitions at Unusual Values of $\theta$

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  6. Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

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