Counting Orbifolds
High Energy Physics - Theory
2014-11-20 v2
Abstract
We present several methods of counting the orbifolds C^D/Gamma. A correspondence between counting orbifold actions on C^D, brane tilings, and toric diagrams in D-1 dimensions is drawn. Barycentric coordinates and scaling mechanisms are introduced to characterize lattice simplices as toric diagrams. We count orbifolds of C^3, C^4, C^5, C^6 and C^7. Some remarks are made on closed form formulas for the partition function that counts distinct orbifold actions.
Cite
@article{arxiv.1002.3609,
title = {Counting Orbifolds},
author = {John Davey and Amihay Hanany and Rak-Kyeong Seong},
journal= {arXiv preprint arXiv:1002.3609},
year = {2014}
}
Comments
69 pages, 9 figures, 24 tables; minor corrections