Smirnov's integrals and quantum Knizhnik-Zamolodchikov equation of level 0

Sep, 1993
19 pages
Published in:
  • J.Phys.A 27 (1994) 3267-3284
e-Print:
Report number:
  • RIMS-945

Citations per year

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Abstract: (desy)
We study the quantum Knizhnik-Zamolodchikov equation of level 00 associated with the spin 1/21/2 representation of Uq(sl2undefined)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|q|<1. In the formula, different solutions can be obtained by taking different integral kernels with the cycle of integration being fixed.