Counting Orbifolds

Details Counting Orbifolds Counting Orbifolds

2010-02-19

arxiv.org/abs/1002.3609v2

JHEP06(2010)010

Physics

High Energy Physics

High Energy Physics - Theory

69 pages, 9 figures, 24 tables; minor corrections

Scientific paper

10.1007/JHEP06(2010)010

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.

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