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2009 Remark on the Integrals of Motion Associated with Level $k$ Realization of the Elliptic Algebra $\mathrm{U}_{q,p}(\widehat{\mathfrak{sl}_2})$
Takeo Kojima, Junʼichi Shiraishi
J. Geom. Symmetry Phys. 14: 35-49 (2009). DOI: 10.7546/jgsp-14-2009-35-49

Abstract

We give one parameter deformation of level $k$ free field realization of the screening current of the elliptic algebra $\mathrm{U}_{q,p}(\widehat{\mathfrak{sl}_2})$. By means of these free field realizations, we construct infinitely many commutative operators, which are called the nonlocal integrals of motion associated with the elliptic algebra $\mathrm{U}_{q,p}(\widehat{\mathfrak{sl}_2})$ for level $k$. They are given as integrals involving a product of the screening current and elliptic theta functions. This paper give level $k$ generalization of the nonlocal integrals of motion given in [1].

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Takeo Kojima. Junʼichi Shiraishi. "Remark on the Integrals of Motion Associated with Level $k$ Realization of the Elliptic Algebra $\mathrm{U}_{q,p}(\widehat{\mathfrak{sl}_2})$." J. Geom. Symmetry Phys. 14 35 - 49, 2009. https://doi.org/10.7546/jgsp-14-2009-35-49

Information

Published: 2009
First available in Project Euclid: 24 May 2017

zbMATH: 1230.17009
MathSciNet: MR2536498
Digital Object Identifier: 10.7546/jgsp-14-2009-35-49

Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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