FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, v.59, no.7-8, pp.677 - 682
Abstract
We review three methods of counting abelian orbifolds of the form C-3/Gamma which are toric Calabi-Yau (CY). The methods include the use of 3-tuples to define the action of G on C-3, the counting of triangular toric diagrams and the construction of hexagonal brane tilings. A formula for the partition function that counts these orbifolds is given. Extensions to higher dimensional orbifolds are briefly discussed. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim