Fractional branes on a non-compact orbifold | Zendy

S. Mukhopadhyay | Zendy; Koushik Ray | Zendy

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Fractional branes on a non-compact orbifold

Author(s) -

S. Mukhopadhyay,

Koushik Ray

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/07/007

Subject(s) - orbifold , quiver , holomorphic function , brane cosmology , boundary (topology) , mathematics , pure mathematics , physics , mathematical physics , mathematical analysis

Fractional branes on the non-compact orbifold $\C^3/\Z_5$ are studied. First,the boundary state description of the fractional branes are obtained. Theopen-string Witten index calculated using these states reproduces the adjacencymatrix of the quiver of $\Z_5$. Then, using the toric crepant resolution of theorbifold $\C^3/\Z_5$ and invoking the local mirror principle, B-type braneswrapped on the holomorphic cycles of the resolution are studied. The boundarystates corresponding to the five fractional branes are identified as boundstates of BPS D-branes wrapping the 0-, 2- and 4-cycles in the exceptionaldivisor of the resolution of $\C^3/\Z_5$.Comment: Latex2e, 25 pages, typos corrected, minor modifications, version to appear in JHE

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