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$$mathbb{C}^2/mathbb{Z}_{n}$$ Fractional Branes and Monodromy
Authors:Robert L. Karp
Affiliation:(1) Department of Physics, Rutgers University, Piscataway, NJ 08854-8019, USA
Abstract:We construct geometric representatives for the $$mathbb{C}^{2}/mathbb{Z}_{n}$$ 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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