Fractional Branes on a Non-compact Orbifold
نویسنده
چکیده
Fractional branes on the non-compact orbifold C3/Z5 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 Z5. Then, using the toric crepant resolution of the orbifold C3/Z5 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-, 2and 4-cycles in the exceptional divisor of the resolution of C3/Z5. E–mail: [email protected] E–mail: [email protected]
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