Supersymmetric instantons and topological quantum field theory |
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Institution: | 1. Department of Signal Processing and Communications, Universidad Carlos III de Madrid Leganés, 28911, Spain;2. Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM, 8711, USA |
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Abstract: | We present an action which generates the supersymmetric self-dual equations corresponding to euclidean super Yang-Mills theory in four dimensions. By adding additional constraint fields with new local symmetries, the classical equations of this system are the usual super self-dual equations when a gauge is chosen for the constraint fields. This construction is a supersymmetric generalization of the Labastida-Pernici action which corresponds to a gauge unfixed version of Witten's topological quantum field theory. We discuss some topological prospects for this model, and the role of supersymmetric instantons in Donaldson theory. |
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