Article ID Journal Published Year Pages File Type
1844196 Nuclear Physics B 2008 30 Pages PDF
Abstract
Using Γ±(z) vertex operators of the c=1 two-dimensional conformal field theory, we give a 2d-quantum field theoretical derivation of the conjectured d-dimensional MacMahon function Gd(q). We interpret this function Gd(q) as a (d+1)-point correlation function Gd+1(z0,…,zd) of some local vertex operators Oj(zj). We determine these operators and show that they are particular composites of q-deformed hierarchical vertex operators Γ±(p), with a positive integer p. In agreement with literature's results, we find that Gd(q), d⩾4, cannot be the generating functional of all d-dimensional generalized Young diagrams.
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Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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