✦ LIBER ✦
Superholomorphic structures, moment maps, and super self-dual Yang-Mills connections over super Riemann surfaces
✍ Scribed by I. Martin; A. Mendoza; A. Restuccia
- Publisher
- Springer
- Year
- 1990
- Tongue
- English
- Weight
- 219 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0377-9017
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✦ Synopsis
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 two dimensions. This result generalizes the recently proposed scheme for the nonsupersymmetric case. The superfield equations also arise from super self-dual Yang-Mills equations in four dimensions by dimensional reduction.