On a problem of Seiberg and Witten
David E. Barrett
Annales Polonici Mathematici, Tome 69 (1998), p. 25-34 / Harvested from The Polish Digital Mathematics Library

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 ImaD/a=0.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:262594
@article{bwmeta1.element.bwnjournal-article-apmv70z1p25bwm,
     author = {David E. Barrett},
     title = {On a problem of Seiberg and Witten},
     journal = {Annales Polonici Mathematici},
     volume = {69},
     year = {1998},
     pages = {25-34},
     zbl = {0997.81120},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv70z1p25bwm}
}
David E. Barrett. On a problem of Seiberg and Witten. Annales Polonici Mathematici, Tome 69 (1998) pp. 25-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv70z1p25bwm/

[000] [Ahl] L. Ahlfors, Complex Analysis, 3rd ed., McGraw-Hill, 1979.

[001] [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.

[002] [Bar] D. Barrett, Failure of averaging on multiply-connected domains, Ann. Inst. Fourier (Grenoble) 40 (1990), 357-370. | Zbl 0726.30034

[003] [BD] D. Barrett and J. Diller, Poincaré series and holomorphic averaging, Invent. Math. 110 (1992), 23-27. | Zbl 0769.30036

[004] [Bea] A. Beardon, The Geometry of Discrete Groups, Springer, 1983.

[005] [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.

[006] [Dil] J. Diller, Failure of weak holomorphic averaging on multiply connected domains, Math. Z. 217 (1994), 167-177. | Zbl 0816.30033

[007] [Fay] A. Fayyazuddin, Some comments on N+2 supersymmetric Yang-Mills, Modern Phys. Lett. A 10 (1995), 2703-2708. | Zbl 1022.81765

[008] F. Ferrari and A. Bilal, The strong-coupling spectrum of the Seiberg-Witten theory, Nuclear Phys. B 469 (1996), 387-402. | Zbl 1003.81564

[009] [Hub] H. Huber, Über analytische Abbildungen Riemannscher Flächer in sich, Comm. Math. Helv. 27 (1953), 1-73. | Zbl 0050.08405

[010] [Leh] O. Lehto, Univalent Functions and Teichmüller Spaces, Springer, 1987.

[011] [Mat] M. Matone, Koebe 1/4-theorem and inequalities in N=2 supersymmetric QCD, Phys. Rev. D 53 (1996), 7354-7358.

[012] [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. | Zbl 0996.81510