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Multi-graded Galilean conformal algebras
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-06-10 , DOI: 10.1016/j.nuclphysb.2020.115092
Eric Ragoucy , Jørgen Rasmussen , Christopher Raymond

Galilean conformal algebras can be constructed by contracting a finite number of conformal algebras, and enjoy truncated Z-graded structures. Here, we present a generalisation of the Galilean contraction procedure, giving rise to Galilean conformal algebras with truncated Zσ-gradings, σN. Detailed examples of these multi-graded Galilean algebras are provided, including extensions of the Galilean Virasoro and affine Kac-Moody algebras. We also derive the associated Sugawara constructions and discuss how these examples relate to multivariable extensions of Takiff algebras. We likewise apply our generalised contraction prescription to tensor products of W3 algebras and obtain new families of higher-order Galilean W3 algebras.



中文翻译:

多级伽利略共形代数

伽利略共形代数可以通过收缩有限数量的共形代数来构造,并且可以被截断 ž分级结构。在这里,我们介绍了伽利略收缩过程的一般化,从而产生了截断的伽利略共形代数žσ-等级, σñ。提供了这些多级伽利略代数的详细示例,包括伽利略Virasoro和仿射Kac-Moody代数的扩展。我们还推导了相关的Sugawara构造,并讨论了这些示例如何与Takiff代数的多变量扩展相关。我们同样将广义收缩处方应用于张量积w ^3 代数并获得新的高阶伽利略族 w ^3 代数

更新日期:2020-06-10
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