Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level 0
classification
✦ hep-th
keywords
differentequationformulafrakintegralknizhnik-zamolodchikovlevelquantum
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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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