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.
Branes within branes
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abstract
We discuss a set of universal couplings between superstring Ramond-Ramond gauge fields and the gauge fields internal to D-branes, with emphasis on their topological consequences, and argue that instanton solutions in these internal theories are equivalent to D-branes. A particular example is the Dirichlet 5-brane in type I theory, which Witten recently showed is the zero size limit of an SO(32) instanton. Its effective world-volume theory is an Sp(1) gauge theory, unbroken in the zero size limit. We show that the zero size limit of an instanton in this theory is a 1-brane, which can be described as a bound state of the Dirichlet 1-brane with the 5-brane. Considering several 1 and 5-branes provides a description of moduli spaces of Sp(N) instantons, and a type II generalization is given which should describe U(N) instantons.
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A review of branes in string theory covering their multiple descriptions and interaction phenomena.
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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.
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Branes
A review of branes in string theory covering their multiple descriptions and interaction phenomena.