REMARK ON THE INTEGRALS OF MOTION ASSOCIATED WITHLEVEL k REALIZATION OF THE ELLIPTIC ALGEBRA U_(q,p)CS (2)

TAKEO KOJIMA; JUNICHI SHIRAISHI

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REMARK ON THE INTEGRALS OF MOTION ASSOCIATED WITHLEVEL k REALIZATION OF THE ELLIPTIC ALGEBRA U_(q,p)CS (2)

机译：关于椭圆代数U_（q，p）CS（k）的k级实现的运动积分

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We give one parameter deformation of level k free field realization ofthe screening current of the elliptic algebra U_(q,p)(sl_2).By means of these free fieldrealizations, we construct infinitely many commutative operators, which are calledthe nonlocal integrals of motion associated with the elliptic algebra Uq,p(s12) forlevel k. They are given as integrals involving a product of the screening currentand elliptic theta functions. This paper give level k generalization of the nonlocalintegrals of motion given in [1].

机译：我们给出椭圆代数U_（q，p）（sl_2）的屏蔽电流的k级自由场实现的一个参数变形。借助这些自由场实现，我们构造了无穷多个可交换算子，称为运动关联的非局部积分椭圆代数Uq，p（s12）的水平为k。它们以涉及屏蔽电流和椭圆theta函数乘积的积分形式给出。本文给出了[1]中给出的运动非局部积分的k级推广。

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《Journal of geometry and symmetry in physics》 |2009年第null期|共15页
作者
TAKEO KOJIMA; JUNICHI SHIRAISHI;
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正文语种 eng
中图分类数学;
关键词
REMARK; ALGEBRA; parameter;

机译：备注;代数;参数;

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1. REMARK ON THE INTEGRALS OF MOTION ASSOCIATED WITHLEVEL k REALIZATION OF THE ELLIPTIC ALGEBRA U_(q,p)CS (2) [J] . TAKEO KOJIMA, JUNICHI SHIRAISHI Journal of geometry and symmetry in physics . 2009,第Null期

机译：关于椭圆代数U_（q，p）CS（k）的k级实现的运动积分
2. Free field realization of the D□q algebra for the η-ξ system, integrals of motion and characters [J] . Nigro A. Nuclear physics, B . 2013,第3期

机译：η-ξ系统的D□q代数的自由场实现，运动积分和字符
3. The integrals of motion for the elliptic deformation of the Virasoro and WN algebra [J] . T. Kojima, J. Shiraishi Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第12期

机译：Virasoro和WN代数的椭圆形变形的运动积分
4. Drinfeld realization of quantum superalgebras and U_(q)(osp(1,2)) [C] . Jintai Ding, Boris Feigin Conference Moshe Flato . 2000

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REMARK ON THE INTEGRALS OF MOTION ASSOCIATED WITHLEVEL k REALIZATION OF THE ELLIPTIC ALGEBRA U_(q,p)CS (2)

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