Reduction of 4-dim self-dual super Yang-Mills equations onto super Riemann surfaces

Superholomorphic structures, moment maps

Superholomorphic structures, moment maps, and super self-dual Yang-Mills connections over super Riemann surfaces

✍ I. Martin; A. Mendoza; A. Restuccia 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 219 KB

We consider the space of superconnections with certain curvature constraints over super Riemann surfaces. We define a moment map over that space to the dual of the super Lie algebra of gauge transformations. The zero set of this moment map corresponds to the super self-dual Yang-Mills equations in t