Fractional two-branes, toric orbifolds and the quantum McKay correspondence

Abstract

We systematically study and obtain the large-volume analogues of fractional two-branes on resolutions of orbifolds C3/Zn. We study a generalisation of the McKay correspondence proposed in hep-th/0504164 called the quantum McKay correspondence by constructing duals to the fractional two-branes. Details are explicitly worked out for two examples -- the crepant resolutions of C3/Z3 and C3/Z5.

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