Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1844196 | Nuclear Physics B | 2008 | 30 Pages |
Abstract
Using α(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,â¦,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 α(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.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Lalla Btissam Drissi, Houda Jehjouh, El Hassan Saidi,