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arXiv · q-alg/9709028

8-Vertex Correlation Functions and Twist Covariance of q-KZ Equation

C. Fronsdal·A. Galindo
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Abstract

We study the vertex operators $Φ(z)$ 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 $:ZΦ(z): = Φ(z)$. 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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BibTeXRIS

C. Fronsdal, A. Galindo. 1997-09-18. 8-Vertex Correlation Functions and Twist Covariance of q-KZ Equation. https://doi.org/10.1142/s0129055x98000331

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