Instantons on ALE spaces and orbifold partitions

Details Instantons on ALE spaces and orbifold partitions Instantons on ALE spaces and orbifold partitions

2007-12-10

arxiv.org/abs/0712.1427v2

JHEP 0803:013,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 10 figures; reference added

Scientific paper

10.1088/1126-6708/2008/03/013

We consider N=4 theories on ALE spaces of $A_{k-1}$ type. As is well known, their partition functions coincide with $A_{k-1}$ affine characters. We show that these partition functions are equal to the generating functions of some peculiar classes of partitions which we introduce under the name 'orbifold partitions'. These orbifold partitions turn out to be related to the generalized Frobenius partitions introduced by G. E. Andrews some years ago. We relate the orbifold partitions to the blended partitions and interpret explicitly in terms of a free fermion system.

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