On a problem of Seiberg and Witten

David E. Barrett

Annales Polonici Mathematici (1998)

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

Abstract

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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 I m a D / a = 0 .

How to cite

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David 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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  1. [Ahl] L. Ahlfors, Complex Analysis, 3rd ed., McGraw-Hill, 1979. 
  2. [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. 
  3. [Bar] D. Barrett, Failure of averaging on multiply-connected domains, Ann. Inst. Fourier (Grenoble) 40 (1990), 357-370. Zbl0726.30034
  4. [BD] D. Barrett and J. Diller, Poincaré series and holomorphic averaging, Invent. Math. 110 (1992), 23-27. Zbl0769.30036
  5. [Bea] A. Beardon, The Geometry of Discrete Groups, Springer, 1983. 
  6. [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. 
  7. [Dil] J. Diller, Failure of weak holomorphic averaging on multiply connected domains, Math. Z. 217 (1994), 167-177. Zbl0816.30033
  8. [Fay] A. Fayyazuddin, Some comments on N+2 supersymmetric Yang-Mills, Modern Phys. Lett. A 10 (1995), 2703-2708. Zbl1022.81765
  9. F. Ferrari and A. Bilal, The strong-coupling spectrum of the Seiberg-Witten theory, Nuclear Phys. B 469 (1996), 387-402. Zbl1003.81564
  10. [Hub] H. Huber, Über analytische Abbildungen Riemannscher Flächer in sich, Comm. Math. Helv. 27 (1953), 1-73. Zbl0050.08405
  11. [Leh] O. Lehto, Univalent Functions and Teichmüller Spaces, Springer, 1987. 
  12. [Mat] M. Matone, Koebe 1/4-theorem and inequalities in N=2 supersymmetric QCD, Phys. Rev. D 53 (1996), 7354-7358. 
  13. [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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