β Scribed by J. Davey; A. Hanany; R.-K. Seong
No coin nor oath required. For personal study only.
We review three methods of counting abelian orbifolds of the form β^3^/Ξ which are toric CalabiβYau (CY). The methods include the use of 3βtuples to define the action of Ξ on β^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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