Monopole Condensates in Seiberg-Witten Theory

Details Monopole Condensates in Seiberg-Witten Theory Monopole Condensates in Seiberg-Witten Theory

1998-12-30

arxiv.org/abs/hep-th/9812241v1

Phys.Lett. B454 (1999) 315-318

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/S0370-2693(99)00391-3

A product of two Riemann surfaces of genuses p_1 and p_2 solves the Seiberg-Witten monopole equations for a constant Weyl spinor that represents a monopole condensate. Self-dual electromagnetic fields require p_1=p_2=p and provide a solution of the euclidean Einstein-Maxwell-Dirac equations with p-1 magnetic vortices in one surface and the same number of electric vortices in the other. The monopole condensate plays the role of cosmological constant. The virtual dimension of the moduli space is zero, showing that for given p_1 and p_2, the solutions are unique.

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