From Toric Geometry to Quiver Gauge Theory : the Equivalence of a-maximization and Z-minimization

@inproceedings{Butti2005FromTG,
  title={From Toric Geometry to Quiver Gauge Theory : the Equivalence of a-maximization and Z-minimization},
  author={A. Butti and Alberto Zaffaroni},
  year={2005}
}
AdS/CFT predicts a precise relation between the central charge a, the scaling dimensions of some operators in the CFT on D3-branes at conical singularities and the volumes of the horizon and of certain cycles in the supergravity dual. We review how a quantitative check of this relation can be performed for all toric singularities. In addition to the results presented in hep-th/0506232, we also discuss the relation with the recently discovered map between toric singularities and tilings; in… CONTINUE READING
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