An Introduction to Counting Orbifolds
arXiv:1102.0015 · doi:10.1002/prop.201100013
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 Gamma 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.
6 pages. Accepted for publication in the proceedings of the XVIth European Workshop on String Theory
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