Properties of the self dual equations for an SU(n) gauge theory

Properties of the self dual equations for an SU(n) gauge theory

The Yang equations for all self dual solutions of SU(r,s) gauge theory are exhibited in simple form. Algebraic and Bäcklund transformations of the solutions of these equations are derived. The Bäcklund transformations change an SU(r,s) solution into an SU(r−1, s+1) solution.

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Veröffentlicht in:Journal of mathematical physics 1978-12, Vol.19 (12), p.2528-2532
Hauptverfasser: Brihaye, Y., Fairlie, D. B., Nuyts, J., Yates, R. G.
Format: Artikel
Sprache:eng
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Zusammenfassung:The Yang equations for all self dual solutions of SU(r,s) gauge theory are exhibited in simple form. Algebraic and Bäcklund transformations of the solutions of these equations are derived. The Bäcklund transformations change an SU(r,s) solution into an SU(r−1, s+1) solution.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.523636