Four Dimensional Integrable Theories

Details Four Dimensional Integrable Theories Four Dimensional Integrable Theories

1994-10-20

arxiv.org/abs/hep-th/9410147v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex

Scientific paper

There exist many four dimensional integrable theories. They include self-dual gauge and gravity theories, all their extended supersymmetric generalisations, as well the full (non-self-dual) N=3 super Yang-Mills equations. We review the harmonic space formulation of the twistor transform for these theories which yields a method of producing explicit connections and metrics. This formulation uses the concept of harmonic space analyticity which is closely related to that of quaternionic analyticity. (Talk by V. Ogievetsky at the G\"ursey Memorial Conference I, Istanbul, June 1994)

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