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Instanton on toric singularities and black hole countings | | Francesco Fucito
; Jose F. Morales
; Rubik Poghossian
; | | Date: |
13 Oct 2006 | | Abstract: | We compute the instanton partition function for N=4 U(N) gauge theories living on toric singularities of type R^4/Gamma_{p,q} including A_{p-1} or O_{P_1}(-p) surfaces. The result provides a microscopic formula for the partition function of a black hole made out of D4-D2-D0 bound states wrapping four-dimensional toric singularities inside a Calabi-Yau. The partition function gets contributions from regular and fractional instantons. Regular instantons are described in terms of symmetric products of the four-dimensional variety. Fractional instantons are built out of elementary self-dual connections with no moduli carrying non-trivial fluxes along the exceptional cycles of the variety. The fractional instanton partition function agrees with recent results based on 2d SYM analysis. | | Source: | arXiv, hep-th/0610154 | | Services: | Forum | Review | PDF | Favorites | |
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