Generalized MacMahon G(q) as q-deformed CFT Correlation Function
| dc.creator | Drissi, Lalla Btissam | |
| dc.creator | Jehjouh, Houda | |
| dc.creator | Saidi, El Hassan | |
| dc.date | 2008-01-17 | |
| dc.date | 2008-03-03 | |
| dc.date.accessioned | 2026-07-07T11:39:55Z | |
| dc.date.available | 2026-07-07T11:39:55Z | |
| dc.description | Using $Γ_{\pm}(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 G$_{d}(q) $. We interpret this function G$_{d}(q) $ as a $(d+1) $- point correlation function $\mathcal{G}_{d+1}(z_{0},...,z_{d}) $ of some local vertex operators $\mathcal{O}%_{j}(z_{j}) $. We determine these operators and show that they are particular composites of q-deformed hierarchical vertex operators $% Γ_{\pm}^{(p)}$, with a positive integer p. In agreement with literature's results, we find that G$_{d}(q) $, $d\geq 4$, cannot be the generating functional of all \textit{d- dimensional} generalized Young diagrams . | |
| dc.description | 35 pages, Appendix B shortened, references updated, To appear in NPB | |
| dc.identifier | https://arxiv.org/abs/0801.2661 | |
| dc.identifier | http://arxiv.org/abs/0801.2661 | |
| dc.identifier | Nucl.Phys.B801:316-345,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.03.006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200096 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Generalized MacMahon G(q) as q-deformed CFT Correlation Function | |
| dc.type | text |