dorsal/arxiv
View Schema8-Vertex Correlation Functions and Twist Covariance of q-KZ Equation
| Authors | C. Fronsdal, A. Galindo |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9709028 |
| URL | https://arxiv.org/abs/q-alg/9709028 |
| DOI | 10.1142/S0129055X98000331 |
| Journal | Rev. Math. Phys. 10 (1998) 1027-1059 |
Abstract
We study the vertex operators $\Phi(z)$ associated with standard quantum groups. The element $Z = RR^{t}$ is a "Casimir operator" for quantized Kac-Moody algebras and the quantum Knizhnik-Zamolodchikov (q-KZ) equation is interpreted as the statement $:Z\Phi(z): = \Phi(z)$. We study the covariance of the q-KZ equation under twisting, first within the category of Hopf algebras, and then in the wider context of quasi Hopf algebras. We obtain the intertwining operators associated with the elliptic R-matrix and calculate the two-point correlation function for the eight-vertex model.
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"abstract": "We study the vertex operators $\\Phi(z)$ associated with standard quantum\ngroups. The element $Z = RR^{t}$ is a \"Casimir operator\" for quantized\nKac-Moody algebras and the quantum Knizhnik-Zamolodchikov (q-KZ) equation is\ninterpreted as the statement $:Z\\Phi(z): = \\Phi(z)$. We study the covariance of\nthe q-KZ equation under twisting, first within the category of Hopf algebras,\nand then in the wider context of quasi Hopf algebras. We obtain the\nintertwining operators associated with the elliptic R-matrix and calculate the\ntwo-point correlation function for the eight-vertex model.",
"arxiv_id": "q-alg/9709028",
"authors": [
"C. Fronsdal",
"A. Galindo"
],
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"q-alg",
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],
"doi": "10.1142/S0129055X98000331",
"journal_ref": "Rev. Math. Phys. 10 (1998) 1027-1059",
"title": "8-Vertex Correlation Functions and Twist Covariance of q-KZ Equation",
"url": "https://arxiv.org/abs/q-alg/9709028"
},
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