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The q-Deformed Knizhnik–Zamolodchikov–Bernard Heat Equation

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Abstract:

We introduce a q-deformation of the genus one sl 2 Knizhnik–Zamolodchikov–Bernard heat equation. We show that this equation for the dependence on the moduli of elliptic curves is compatible with the qKZB equations, which give the dependence on the marked points.

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Authors and Affiliations

  1. Departement Mathematik, ETH-Zentrum, 8092 Zúrich, Switzerland, , , , , , CH

    Giovanni Felder

  2. Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA, , , , , , US

    Alexander Varchenko

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  1. Giovanni Felder
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  2. Alexander Varchenko
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Received: 4 October 2000 / Accepted: 25 March 2001

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Felder, G., Varchenko, A. The q-Deformed Knizhnik–Zamolodchikov–Bernard Heat Equation. Commun. Math. Phys. 221, 549–571 (2001). https://doi.org/10.1007/s002200100487

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  • DOI: https://doi.org/10.1007/s002200100487

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