Superholomorphic structures,moment maps,and super self-dual Yang-Mills connections over super Riemann surfaces |
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Authors: | I Martin A Mendoza A Restuccia |
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Institution: | (1) Dept. de Física, Universidad Simón Bolivar, Caracas, Venezuela |
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Abstract: | 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. |
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Keywords: | 81E10 53C80 |
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