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Dual Baxter equations and quantization of Affine Jacobian

Feodor A. Smirnov
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Abstract

A quantum integrable model is considered which describes a quantization of affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with inverse Planck constant exists such that the eigen-functions of its Hamiltonians coincide with the eigen-functions of Hamiltonians of the original model. We explain that this duality can be considered as duality between homologies and cohomologies of quantized affine hyper-elliptic Jacobian.

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Feodor A. Smirnov. 2000-01-21. Dual Baxter equations and quantization of Affine Jacobian. https://doi.org/10.1088/0305-4470%2F33%2F16%2F323

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