Super multi-instantons in conformal chiral superspace.

Abstract

We reformulate self-dual supersymmetric theories directly in conformal chiral superspace, where superconformal invariance is manifest. The superspace can be interpreted as the generalization of the usual Atiyah-Drinfel'd-Hitchin-Manin (ADHM) twistors (the quaternionic projective line), the real projective light cone in six dimensions, or harmonic superspace, but can be reduced immediately to four-dimensional chiral superspace. As an exsample, we give the 't Hooft and ADHM multi-instanton constructions for self-dual super Yang-Mills theory. In both cases, all the parameters are represented as a single, irreducible, constant tensor.