On the C-n/Z(m) fractional branes

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Date

2009-02

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Publisher

AIP Publishing

Abstract

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 which connects our fractional branes to the ones given by the McKay correspondence.

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Keywords

geometry, membrane theory, electric-magnetic duality, mckay correspondence, mirrorsymmetry, categories, singularities, equivalences, varieties, monodromy, manifolds, sheaves

Citation

Karp, Robert L., "On the C-n/Z(m) fractional branes," J. Math. Phys. 50, 022304 (2009); http://dx.doi.org/10.1063/1.3072696