Abstract
In this paper we construct separated variables for quantum integrable models related to the algebra \({U_q}({\widehat {sl}_N})\). This generalizes the results by Sklyanin for N = 2, 3.
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References
Nakayashiki A., Smirnov F.A., Cohomologies of affine Jacobi varieties and integrable systems,Comm. Math. Phys., 217 (2001), 623.
Smirnov F.A., xxx J. Phys. A, 33 (2000), 3385.
Mumford D., Tata Lectures on Theta, v. 1 and 2, Boston: Birkhäuser (1983).
Sklyanin E.K., Separation of variables, Prog. Theor. Phys. (suppl), 185 (1995), 35.
Nakayashiki A., On the cohomology of theta divisor of hyperelliptic Jacobian, AG/0010006 (2000).
Nakayashiki A., Smirnov F.A., Euler characteristic of theta divisor of Jacobians for spectral curves, AG/0012251 (2000)
Diener P., Dubrovin B.A., Algebro-geometrical Darboux coordinates in R-matrix formalism, SISSA ISAS 88/94/FM (1994).
Zeitline V., Algebraic model of affine Jacobian,to be published.
Sklyanin E.K., Separation of variables in quantum integrable models related to the Yangian Y[sl(3)],hep-th/9212076 (1992).
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Smirnov, F.A. (2002). Separation of Variables for Quantum Integrable Models Related to \({U_q}({\widehat {sl}_N})\) . In: Kashiwara, M., Miwa, T. (eds) MathPhys Odyssey 2001. Progress in Mathematical Physics, vol 23. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0087-1_17
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DOI: https://doi.org/10.1007/978-1-4612-0087-1_17
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6605-1
Online ISBN: 978-1-4612-0087-1
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