First Column Boundary Operator Product Expansion Coefficients
| dc.creator | Simmons, Jacob J. H. | |
| dc.creator | Kleban, Peter | |
| dc.date | 2007-12-20 | |
| dc.date | 2008-05-16 | |
| dc.date.accessioned | 2026-07-07T09:38:56Z | |
| dc.date.available | 2026-07-07T09:38:56Z | |
| dc.description | We calculate boundary operator product expansion coefficients for boundary operators in the first column of the Kac table in conformal field theories. For c=0 we give closed form expressions for all such coefficients. Then we generalize to the augmented minimal models, giving explicit expressions for coefficients valid when ϕ_{1,2} mediates a change from fixed to free boundary conditions. These quantities are determined by computing an arbitrary four-point correlation function of first column operators. Our calculation first determines the appropriate (non-logarithmic) conformal blocks by using standard null-vector methods. The behavior of these blocks under crossing symmetry then provides a general closed form expression for the desired coefficients, as a product of ratios of gamma functions. This calculation was inspired by the need for several of these coefficients in certain correlation function formulas for critical two-dimensional percolation and the augmented q=2 and q=3 state critical Potts models. | |
| dc.description | 9 pages, no figures, v2 minor corrections | |
| dc.identifier | https://arxiv.org/abs/0712.3575 | |
| dc.identifier | http://arxiv.org/abs/0712.3575 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160995 | |
| dc.subject | Statistical Mechanics | |
| dc.title | First Column Boundary Operator Product Expansion Coefficients | |
| dc.type | text |