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 Intersecting at Angles
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abstract
We show that configurations of multiple D-branes related by SU(N) rotations will preserve unbroken supersymmetry. This includes cases in which two D-branes are related by a rotation of arbitrarily small angle, and we discuss some of the physics of this. In particular, we discuss a way of obtaining 4D chiral fermions on the intersection of D-branes. We also rephrase the condition for unbroken supersymmety as the condition that a `generalized holonomy group' associated with the brane configuration and manifold is reduced, and relate this condition (in Type IIA string theory) to a condition in eleven dimensions.
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Magnetized SYM on (T^2)^3/(Z_2 x Z'_2) with 7-branes, fluxes, and Wilson lines produces MSSM chiral fields and semi-realistic hierarchical Yukawas for quarks and leptons.
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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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MSSM flavors from 7-brane configurations of magnetized SYM on $R^{1,3} \times (T^2)^3/(Z_2 \times Z'_2)$
Magnetized SYM on (T^2)^3/(Z_2 x Z'_2) with 7-branes, fluxes, and Wilson lines produces MSSM chiral fields and semi-realistic hierarchical Yukawas for quarks and leptons.