Classical Wakimoto realizations of chiral WZNW Bloch waves

Balog J.; Palla L.; Feher L.

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Classical Wakimoto realizations of chiral WZNW Bloch waves

机译：WZNW布洛赫手征波的经典Wakimoto实现

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It is well known that the chiral WZNW Bloch waves satisfy a quadratic classical exchange algebra which implies the affine Kac-Moody algebra for the corresponding currents. Here we obtain a direct derivation of the exchange algebra by inverting the symplectic form on the space of Bloch waves, and give a completely algorithmic construction of its generalized free-field realizations that extend the classical Wakimoto realizations of the current algebra. [References: 42]

机译：众所周知，手性WZNW布洛赫波满足二次古典交换代数，该代数隐含了对应电流的仿射Kac-Moody代数。在这里，我们通过反转Bloch波空间上的辛形式来获得交换代数的直接推导，并给出其广义自由场实现的完整算法构造，从而扩展了当前代数的经典Wakimoto实现。 [参考：42]

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《Journal of Physics, A. Mathematical and General: A Europhysics Journal》 |2000年第5期|共12页
作者
Balog J.; Palla L.; Feher L.;
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正文语种 eng
中图分类物理学;
关键词
Zumino-witten model; Yang-baxter equation; Explicit construction; Exchange algebras; Field-theory; Quantization; Representations; Matrix;

机译：Zumino-witten模型;Yang-baxter方程;显式构造;交换代数;场论;量化;表示;矩阵;

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1. Classical Wakimoto realizations of chiral WZNW Bloch waves [J] . Balog J., Palla L., Feher L. Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2000,第5期

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7. Classical Wakimoto Realizations of Chiral WZNW Bloch Waves [O] . Balog, J, Fehér, L, Palla, L 2000

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8. Explicit construction of Wakimoto realizations of current algebras [R] . Boer, J. , Feher, L. 1996

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Classical Wakimoto realizations of chiral WZNW Bloch waves

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