On the C^n/Z_m fractional branes
Abstract
Description
We construct several geometric representatives for the C^n/Z_m fractional branes on either a partially or the completely resolved orbifold. In the process we use large radius and conifold-type monodromies, and provide a strong consistency check. In particular, for C^3/Z_5 we give three different sets of geometric representatives. We also find the explicit Seiberg-duality, in the Berenstein-Douglas sense, which connects our fractional branes to the ones given by the McKay correspondence.
35 pages, xypic, 1 eps fig. v2: simplified the proofs in Section 5
35 pages, xypic, 1 eps fig. v2: simplified the proofs in Section 5