An Introduction to Counting Orbifolds
High Energy Physics - Theory
2011-07-14 v1
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.
Cite
@article{arxiv.1102.0015,
title = {An Introduction to Counting Orbifolds},
author = {John Davey and Amihay Hanany and Rak-Kyeong Seong},
journal= {arXiv preprint arXiv:1102.0015},
year = {2011}
}
Comments
6 pages. Accepted for publication in the proceedings of the XVIth European Workshop on String Theory