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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 235, Pages 224–261 (Mi tm246)  
Seiberg–Witten Equations and Complex Abrikosov Strings

A. G. Sergeev

Steklov Mathematical Institute, Russian Academy of Sciences
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Abstract: An interpretation of Abrikosov strings in the Abelian $(2+1)$-dimensional Higgs model is given in terms of the adiabatic limit. In an analogous way, complex Abrikosov strings are interpreted in terms of the reduction of 4-dimensional Seiberg–Witten equations to pseudoholomorphic curves.
Received in August 2001
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: A. G. Sergeev, “Seiberg–Witten Equations and Complex Abrikosov Strings”, Analytic and geometric issues of complex analysis, Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin, Trudy Mat. Inst. Steklova, 235, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 224–261; Proc. Steklov Inst. Math., 235 (2001), 215–250
Citation in format AMSBIB
\Bibitem{Ser01}
\by A.~G.~Sergeev
\paper Seiberg--Witten Equations and Complex Abrikosov Strings
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 235
\pages 224--261
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886585}
\zmath{https://zbmath.org/?q=an:1017.53072}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 235
\pages 215--250
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