2011/01/31 by John Davey, J. Davey, Amihay Hanany +3
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Function (biology) #Partition (number theory) #Partition function (quantum field theory) #hep-th
paper · pdf · doi:10.1002/prop.201100013
published as Fortsch.Phys.59:677-682, 2011 · 6 pages. Accepted for publication in the proceedings of the XVIth European Workshop on String Theory
arxiv created 2011/01/31 · openalex publication_date 2011/03/14 · arxiv updated 2011/07/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract We review three methods of counting abelian orbifolds of the form ℂ 3 /Γ which are toric Calabi‐Yau (CY). The methods include the use of 3‐tuples to define the action of Γ 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.