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arXiv · 1702.04882

Seiberg-Witten theory as a complex version of Abelian Higgs model

Armen Sergeev
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Abstract

The adiabatic limit procedure associates with every solution of Abelian Higgs model in (2+1) dimensions a geodesic in the moduli space of static solutions. We show that the same procedure for Seiberg--Witten equations on 4-dimensional symplectic manifolds introduced by Taubes may be considered as a complex (2+2)-dimensional version of the (2+1)-dimensional picture. More precisely, the adiabatic limit procedure in the 4-dimensional case associates with a solution of Seiberg--Witten equations a pseudoholomorphic divisor which may be treated as a complex version of a geodesic in (2+1)-dimensional case.

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Armen Sergeev. 2017-02-16. Seiberg-Witten theory as a complex version of Abelian Higgs model. https://doi.org/10.1007/s11425-016-9030-4

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