The classical origin of quantum affine algebra in squashed sigma models
The classical origin of quantum affine algebra in squashed sigma models
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DOI：
10.1007/jhep04(2012)115
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发表时间：
2012-01
影响因子：
5.4
通讯作者：
Io Kawaguchi;Takuya Matsumoto;Kentaroh Yoshida
中科院分区：
文献类型：
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作者：
Io Kawaguchi;Takuya Matsumoto;Kentaroh Yoshida
考虑了目标空间为三维压扁球的二维非线性sigma模型中的量子仿射代数。它的仿射生成器显式构造和泊松括号的计算。量子仿射代数在Drinfeld第一实现意义下的定义关系在经典水平上得到满足。与德林费尔德第二实现的关系也进行了讨论，包括更高的保守电荷。最后在量子水平上讨论了量子仿射代数的一个半经典极限。
We consider a quantum affine algebra realized in two-dimensional non-linear sigma models with target space three-dimensional squashed sphere. Its affine generators are explicitly constructed and the Poisson brackets are computed. The defining relations of quantum affine algebra in the sense of the Drinfeld first realization are satisfied at classical level. The relation to the Drinfeld second realization is also discussed including higher conserved charges. Finally we comment on a semiclassical limit of quantum affine algebra at quantum level.