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TMF, 1988, Volume 77, Number 3, Pages 340–351 (Mi tmf6026)  

Quasiself-dual fields in $N=4$ supersymmetric Yang–Mills theory

V. A. Yatsun


Abstract: In Euclidean conformally invariant Yang–Mills theory with sextuplet of scalar fields – the bosonic sector of $N=4$ supersymmetric Yang–Mills theory – a general representation of the quasiself-dual gauge field in terms of the multiplet of scalar fields is found. In the case of $O(4)$ symmetry the model generates a Hamiltonian system with two degrees of freedom, for which a description of the quasiselfdual fields in the framework of the Hamilton–Jacobi method is obtained. An explicit example of a quasi-instanton in the region $g^2<0$ is constructed.

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English version:
Theoretical and Mathematical Physics, 1988, 77:3, 1239–1247

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Received: 28.04.1987

Citation: V. A. Yatsun, “Quasiself-dual fields in $N=4$ supersymmetric Yang–Mills theory”, TMF, 77:3 (1988), 340–351; Theoret. and Math. Phys., 77:3 (1988), 1239–1247

Citation in format AMSBIB
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\by V.~A.~Yatsun
\paper Quasiself-dual fields in $N=4$ supersymmetric Yang--Mills theory
\jour TMF
\yr 1988
\vol 77
\issue 3
\pages 340--351
\mathnet{http://mi.mathnet.ru/tmf6026}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=982413}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 77
\issue 3
\pages 1239--1247
\crossref{https://doi.org/10.1007/BF01016978}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1988AK72200003}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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