Symmetries of Abelian Orbifolds

Details Symmetries of Abelian Orbifolds Symmetries of Abelian Orbifolds

2010-09-15

arxiv.org/abs/1009.3017v1

JHEP 1101:027,2011

Physics

High Energy Physics

High Energy Physics - Theory

75 pages, 13 figures, 30 tables

Scientific paper

10.1007/JHEP01(2011)027

Using the Polya Enumeration Theorem, we count with particular attention to C^3/Gamma up to C^6/Gamma, abelian orbifolds in various dimensions which are invariant under cycles of the permutation group S_D. This produces a collection of multiplicative sequences, one for each cycle in the Cycle Index of the permutation group. A multiplicative sequence is controlled by its values on prime numbers and their pure powers. Therefore, we pay particular attention to orbifolds of the form C^D/Gamma where the order of Gamma is p^alpha. We propose a generalization of these sequences for any D and any p.

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