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Deformed Kac–Moody algebra and noncommutative Fermi theory in two dimensions
International Journal of Modern Physics A ( IF 1.6 ) Pub Date : 2021-09-21 , DOI: 10.1142/s0217751x2150189x
M. W. AlMasri 1 , M. R. B. Wahiddin 1
Affiliation  

Starting from noncommutative Fermi theory in two dimensions, we construct a deformed Kac–Moody algebra between its vector and chiral currents. The higher-order corrections to the deformed Kac–Moody algebra are explicitly calculated. We observe that the ordinary Schwinger terms are not affected by noncommutativity. Finally we conclude that the deformed Kac–Moody algebra can be given in term of ordinary Kac–Moody algebra plus infinitely many Lie algebraic structures at each nonzero power of the antisymmetric coefficient 𝜃.

中文翻译:

二维变形 Kac-Moody 代数和非对易费米理论

从二维非对易费米理论出发,我们在其矢量和手性电流之间构造了一个变形的 Kac-Moody 代数。对变形的 Kac-Moody 代数的高阶修正是明确计算的。我们观察到普通的 Schwinger 项不受不可交换性的影响。最后我们得出结论,变形的 Kac-Moody 代数可以用普通 Kac-Moody 代数加上在反对称系数的每个非零幂处的无限多个李代数结构来给出𝜃.
更新日期:2021-09-21
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