English

C^2/Z_n Fractional branes and Monodromy

High Energy Physics - Theory 2009-11-11 v4 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0510047,
  title  = {C^2/Z_n Fractional branes and Monodromy},
  author = {Robert L. Karp},
  journal= {arXiv preprint arXiv:hep-th/0510047},
  year   = {2009}
}

Comments

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