- Instantons on ALE spaces and orbifold partitions
- The Journal of High Energy Physics
- Volume | Issue number
- 2008 | 3
- Pages (from-to)
- Number of pages
- Document type
- Faculty of Science (FNWI)
- Institute for Theoretical Physics Amsterdam (ITFA)
Korteweg-de Vries Institute for Mathematics (KdVI)
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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