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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 215, Pages 197–216 (Mi znsl5932)  
Self-duality equation: monodromy matrices and algebraic curves

D. A. Korotkin

St. Petersburg State Academy of Aerospace Equipment Construction
Full-text PDF (863 kB)
Abstract: It is shown that the general local solution of the self-duality equation with $SU(1,1)$ and $SU(2)$ gauge groups is associated to some algebraic curve with moving branch points if related “monodromy matrix” is rational. The “multisoliton” solutions including monopoles and instantons correspond to the degenerated curves, when the branch cuts collapse to the double points. Bibliography: 17 titles.
Received: 01.11.1993
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 1, Pages 1684–1697
DOI: https://doi.org/10.1007/BF02355329
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: English
Citation: D. A. Korotkin, “Self-duality equation: monodromy matrices and algebraic curves”, Differential geometry, Lie groups and mechanics. Part 14, Zap. Nauchn. Sem. POMI, 215, Nauka, St. Petersburg, 1994, 197–216; J. Math. Sci. (New York), 85:1 (1997), 1684–1697
Citation in format AMSBIB
\Bibitem{Kor94}
\by D.~A.~Korotkin
\paper Self-duality equation: monodromy matrices and algebraic curves
\inbook Differential geometry, Lie groups and mechanics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 215
\pages 197--216
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5932}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1329984}
\zmath{https://zbmath.org/?q=an:0869.35091|0907.35122}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 1
\pages 1684--1697
\crossref{https://doi.org/10.1007/BF02355329}
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