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Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of \(A_ 1\) solutions - MaRDI portal

Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of \(A_ 1\) solutions (Q1319916)

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Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of \(A_ 1\) solutions
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    Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of \(A_ 1\) solutions (English)
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    19 April 1994
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    The authors determine a Bäcklund transformation for the self-duality equations in \(N\)-extended complexified super-Minkowski space \(M^{4 \times 4N}\) with a semi-simple valued gauge group. An explicit form of solution is presented for the \(A_ 1\)-case. This permits to construct a hierarchy of solutions depending on four arbitrary functions.
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    gauge theories
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    supersymmetry
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    Bäcklund transformation
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    super-Minkowski space
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