Four Dimensional Integrable Theories
High Energy Physics - Theory
2015-06-26 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
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)
Cite
@article{arxiv.hep-th/9410147,
title = {Four Dimensional Integrable Theories},
author = {Ch. Devchand and V. Ogievetsky},
journal= {arXiv preprint arXiv:hep-th/9410147},
year = {2015}
}
Comments
11 pages, latex