Fractional Branes on a Non-compact Orbifold

Details Fractional Branes on a Non-compact Orbifold Fractional Branes on a Non-compact Orbifold

2001-02-21

arxiv.org/abs/hep-th/0102146v2

JHEP 0107:007,2001

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 25 pages, typos corrected, minor modifications, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2001/07/007

Fractional branes on the non-compact orbifold $\C^3/\Z_5$ are studied. First, the boundary state description of the fractional branes are obtained. The open-string Witten index calculated using these states reproduces the adjacency matrix of the quiver of $\Z_5$. Then, using the toric crepant resolution of the orbifold $\C^3/\Z_5$ and invoking the local mirror principle, B-type branes wrapped on the holomorphic cycles of the resolution are studied. The boundary states corresponding to the five fractional branes are identified as bound states of BPS D-branes wrapping the 0-, 2- and 4-cycles in the exceptional divisor of the resolution of $\C^3/\Z_5$.

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