Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level $0$

Details Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level $0$ Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level $0$

1993-09-22

arxiv.org/abs/hep-th/9309118v3

J.Phys. A27 (1994) 3267-3284

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

10.1088/0305-4470/27/9/036

We study the quantum Knizhnik-Zamolodchikov equation of level $0$ associated with the spin $1/2$ representation of $U_q \bigl(\widehat{\frak s \frak l _{2}}\bigr)$. We find an integral formula for solutions in the case of an arbitrary total spin and $|q|<1$. In the formula, different solutions can be obtained by taking different integral kernels with the cycle of integration being fixed.

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