Duality for Knizhnik–Zamolodchikov and Dynamical Equations

By V. Tarasov, A. Varchenko. 2001

81 citations recorded by the source corpus.

We consider the Knizhnik–Zamolodchikov (KZ) and dynamical equations, both differential and difference, in the context of (glk,gln) duality. We show that the KZ and dynamical equations naturally exchange under the duality.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/85f7af094ec41a4e962c14f3033414b5b0c1f60a

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In Mathematical Physics

1. V. Tarasov
2. E. Mukhin
3. A. Varchenko

In Statistical and Nonlinear Physics

1. V. Tarasov
2. A. Varchenko
3. E. Mukhin
4. Valerio Toledano Laredo
5. P. Boalch

Citations in the corpus

• Bispectral and (gl_N, gl_M) Dualities, Discrete Versus Differential (2006, background): “ubspaces, (9.2) L n[m] ≃ L m[n] . Under this isomorphism the KZ and dynamical Hamiltonians interchange, HG,hNi a (λ,z) = GX,hMi a (z,λ), G G,hNi i (λ,z) = H G,hNi i (z,λ), for a= 1,...,M, i= 1,...,N, [TV5]. Recall that 1 = (1,...,1) ∈ CN, and ξhmi is defined by (8.2). Let thni be a Gaudin admissible ”