dorsal/arxiv
View SchemaRogers-Schur-Ramanujan type identities for the $M(p,p')$ minimal models of conformal field theory
| Authors | Alexander Berkovich, Barry M. McCoy, Anne Schilling |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9607020 |
| URL | https://arxiv.org/abs/q-alg/9607020 |
| DOI | 10.1007/s002200050271 |
| Journal | Commun.Math.Phys. 191 (1998) 325-395 |
Abstract
We present and prove Rogers-Schur-Ramanujan (Bose/Fermi) type identities for the Virasoro characters of the minimal model $M(p,p').$ The proof uses the continued fraction decomposition of $p'/p$ introduced by Takahashi and Suzuki for the study of the Bethe's Ansatz equations of the XXZ model and gives a general method to construct polynomial generalizations of the fermionic form of the characters which satisfy the same recursion relations as the bosonic polynomials of Forrester and Baxter. We use this method to get fermionic representations of the characters $\chi_{r,s}^{(p,p')}$ for many classes of $r$ and $s.$
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"abstract": "We present and prove Rogers-Schur-Ramanujan (Bose/Fermi) type identities for\nthe Virasoro characters of the minimal model $M(p,p\u0027).$ The proof uses the\ncontinued fraction decomposition of $p\u0027/p$ introduced by Takahashi and Suzuki\nfor the study of the Bethe\u0027s Ansatz equations of the XXZ model and gives a\ngeneral method to construct polynomial generalizations of the fermionic form of\nthe characters which satisfy the same recursion relations as the bosonic\npolynomials of Forrester and Baxter. We use this method to get fermionic\nrepresentations of the characters $\\chi_{r,s}^{(p,p\u0027)}$ for many classes of $r$\nand $s.$",
"arxiv_id": "q-alg/9607020",
"authors": [
"Alexander Berkovich",
"Barry M. McCoy",
"Anne Schilling"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/s002200050271",
"journal_ref": "Commun.Math.Phys. 191 (1998) 325-395",
"title": "Rogers-Schur-Ramanujan type identities for the $M(p,p\u0027)$ minimal models of conformal field theory",
"url": "https://arxiv.org/abs/q-alg/9607020"
},
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