The local moduli space of charge-r/N self-dual instantons on a twisted T^4 is identified with the Higgs branch of a 4d N=2 theory on intersecting D5-branes, reproducing prior field-theory results with manifest hyper-Kähler structure.
Garcia Perez, A
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abstract
We develop a perturbative expansion which allows the construction of non-abelian self-dual SU(2) Yang-Mills field configurations on the four-dimensional torus with topological charge 1/2. The expansion is performed around the constant field strength abelian solutions found by 't Hooft. Next to leading order calculations are compared with numerical results obtained with lattice gauge theory techniques.
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D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch
The local moduli space of charge-r/N self-dual instantons on a twisted T^4 is identified with the Higgs branch of a 4d N=2 theory on intersecting D5-branes, reproducing prior field-theory results with manifest hyper-Kähler structure.