C^2/Z_n Fractional branes and Monodromy

Details C^2/Z_n Fractional branes and Monodromy C^2/Z_n Fractional branes and Monodromy

2005-10-05

arxiv.org/abs/hep-th/0510047v4

Commun.Math.Phys. 270 (2007) 163-196

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, v1 identical to v2, v3: typos fixed, discussion of Harvey-Moore BPS algebras updated

Scientific paper

10.1007/s00220-006-0162-6

We construct geometric representatives for the C^2/Z_n fractional branes in terms of branes wrapping certain exceptional cycles of the resolution. In the process we use large radius and conifold-type monodromies, and also check some of the orbifold quantum symmetries. We find the explicit Seiberg-duality which connects our fractional branes to the ones given by the McKay correspondence. We also comment on the Harvey-Moore BPS algebras.

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