91 citations · 160 across the 14 of their papers we have counts for
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Duality for Knizhnik-Zamolodchikov and Dynamical Equations
V. Tarasov, A. Varchenko
We consider the Knizhnik-Zamolodchikov (KZ) and dynamical equations, both differential and difference, in the context of the (gl_k,gl_n) duality. We show that the KZ and dynamical…
Solutions of Trigonometric KZ Equations satisfy Dynamical Difference Equations
Y. Markov, A. Varchenko
The trigonometric KZ equations associated to a Lie algebra \g depend on a parameter λin \h where \h is a Cartan subalgebra of \g. A system of dynamical difference equations with re…
Special functions, conformal blocks, Bethe ansatz, and SL(3,Z)
G. Felder, A. Varchenko
This is the talk of the second author at the meeting "Topological Methods in Physical Sciences", London, November 2000. We review our work on KZB equations.
Differential Equations Compatible with KZ Equations
G. Felder, Y. Markov, V. Tarasov +1
We define a system of "dynamical" differential equations compatible with the KZ differential equations. The KZ differential equations are associated to a complex simple Lie algebra…