The perturbation $ϕ_{2,1}$ of the M(p,p+1) models of conformal field theory and related polynomial character identities
| dc.creator | Berkovich, Alexander | |
| dc.creator | McCoy, Barry M. | |
| dc.date | 1998-09-11 | |
| dc.date | 1998-09-17 | |
| dc.date.accessioned | 2026-07-07T05:25:59Z | |
| dc.date.available | 2026-07-07T05:25:59Z | |
| dc.description | Using $q$-trinomial coefficients of Andrews and Baxter along with the technique of telescopic expansions, we propose and prove a complete set of polynomial identities of Rogers-Ramanujan type for M(p, p+1) models of conformal field theory perturbed by the operator $phi_{2,1}$. The bosonic form of our polynomials is closely related to corner transfer matrix sums which arise in the computation of the order parameter in the regime $1^+$ of $A_{p-1}$ dilute models. In the limit where the degree of the polynomials tends to infinity our identities provide new companion fermionic representations for all Virasoro characters of unitary minimal series. | |
| dc.description | 30 pages in latex, an additional result is added | |
| dc.identifier | https://arxiv.org/abs/math/9809066 | |
| dc.identifier | http://arxiv.org/abs/math/9809066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77388 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | The perturbation $ϕ_{2,1}$ of the M(p,p+1) models of conformal field theory and related polynomial character identities | |
| dc.type | text |