# On a problem of Seiberg and Witten

Annales Polonici Mathematici (1998)

- Volume: 70, Issue: 1, page 25-34
- ISSN: 0066-2216

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topDavid E. Barrett. "On a problem of Seiberg and Witten." Annales Polonici Mathematici 70.1 (1998): 25-34. <http://eudml.org/doc/262594>.

@article{DavidE1998,

abstract = {We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve $Im a_\{D\}/a = 0$.},

author = {David E. Barrett},

journal = {Annales Polonici Mathematici},

keywords = {supersymmetric Yang-Mills theory; flat vector bundles; Wrońskian; Schwarzian; Wronskian; supersymmetric Yang-Mills},

language = {eng},

number = {1},

pages = {25-34},

title = {On a problem of Seiberg and Witten},

url = {http://eudml.org/doc/262594},

volume = {70},

year = {1998},

}

TY - JOUR

AU - David E. Barrett

TI - On a problem of Seiberg and Witten

JO - Annales Polonici Mathematici

PY - 1998

VL - 70

IS - 1

SP - 25

EP - 34

AB - We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve $Im a_{D}/a = 0$.

LA - eng

KW - supersymmetric Yang-Mills theory; flat vector bundles; Wrońskian; Schwarzian; Wronskian; supersymmetric Yang-Mills

UR - http://eudml.org/doc/262594

ER -

## References

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- [AFS] P. Argyres, A. Faraggi, and A. Shapere, Curves of marginal stability in N=2 super-QCD, hep-th/9505190 on WWW at URL http://xxx.lanl.gov.
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- [Bea] A. Beardon, The Geometry of Discrete Groups, Springer, 1983.
- [Bil] A. Bilal, z Duality in N=2 SUSY SU(2) Yang-Mills theory: A pedagogical introduction to the work of Seiberg and Witten, hep-th/9601007 on WWW at URL http://xxx.lanl.gov.
- [Dil] J. Diller, Failure of weak holomorphic averaging on multiply connected domains, Math. Z. 217 (1994), 167-177. Zbl0816.30033
- [Fay] A. Fayyazuddin, Some comments on N+2 supersymmetric Yang-Mills, Modern Phys. Lett. A 10 (1995), 2703-2708. Zbl1022.81765
- F. Ferrari and A. Bilal, The strong-coupling spectrum of the Seiberg-Witten theory, Nuclear Phys. B 469 (1996), 387-402. Zbl1003.81564
- [Hub] H. Huber, Über analytische Abbildungen Riemannscher Flächer in sich, Comm. Math. Helv. 27 (1953), 1-73. Zbl0050.08405
- [Leh] O. Lehto, Univalent Functions and Teichmüller Spaces, Springer, 1987.
- [Mat] M. Matone, Koebe 1/4-theorem and inequalities in N=2 supersymmetric QCD, Phys. Rev. D 53 (1996), 7354-7358.
- [SW] N. Seiberg and E. Witten, z Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory, Nuclear Phys. B 426 (1994), 19-52. Zbl0996.81510

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