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Adiabatic limit in Ginzburg—Landau and Seiberg—Witten equations

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Abstract

We present the concept of an adiabatic limit of Ginzburg—Landau dynamical equations on ℝ1+2 and Seiberg—Witten equations on four-dimensional symplectic manifolds. We show that the Seiberg—Witten equations can be regarded as a complex version of the Ginzburg—Landau equations.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    A. G. Sergeev

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  1. A. G. Sergeev
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Correspondence to A. G. Sergeev.

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The author declares no conflicts of interest.

Additional information

This research was supported by the Russian Foundation for Basic Research (Grant No. 19-11-00316).

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 203, No. 1, pp. 151–160, April, 2020.

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Sergeev, A.G. Adiabatic limit in Ginzburg—Landau and Seiberg—Witten equations. Theor Math Phys 203, 561–568 (2020). https://doi.org/10.1134/S004057792004011X

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  • DOI: https://doi.org/10.1134/S004057792004011X

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