Dual Baxter equations and quantization of Affine Jacobian
Mathematical Physics
2009-10-31 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0001032,
title = {Dual Baxter equations and quantization of Affine Jacobian},
author = {Feodor A. Smirnov},
journal= {arXiv preprint arXiv:math-ph/0001032},
year = {2009}
}
Comments
27 pages, 2 figures