An Introduction to Counting Orbifolds

Details An Introduction to Counting Orbifolds An Introduction to Counting Orbifolds

2011-01-31

arxiv.org/abs/1102.0015v1

Fortsch.Phys.59:677-682, 2011

Physics

High Energy Physics

High Energy Physics - Theory

6 pages. Accepted for publication in the proceedings of the XVIth European Workshop on String Theory

Scientific paper

10.1002/prop.201100013

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.

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