Finite irreducible conformal modules over the Lie conformal superalgebra S(p)
Finite irreducible conformal modules over the Lie conformal superalgebra S(p)
复制标题
DOI：
10.1016/j.geomphys.2021.104256
复制
发表时间：
2020-04
影响因子：
1.5
通讯作者：
Haibo Chen;Yanyong Hong;Yu-cai Su
中科院分区：
文献类型：
--
作者：
Haibo Chen;Yanyong Hong;Yu-cai Su
本文引入了一类无限李共形超代数S (p)，它们与[6]中定义的扩展块型李共形代数密切相关。那么对于p∈C f， S (p)上的所有有限非平凡不可约共形模是完全分类的。作为应用，我们也给出了有限商代数s (n)上n≥1的有限非平凡不可约共形模的分类，以及与n = 2超共形代数的李共形代数的一个子代数同构的sh。此外，作为S (p)的推广形式，构造了无限李共形超代数GS (p)，其子代数同构于N= 2超共形代数的有限李共形代数。
In the present paper, we introduce a class of infinite Lie conformal superalgebras S (p), which are closely related to Lie conformal algebras of extended Block type defined in [6]. Then all finite non-trivial irreducible conformal modules over S (p) for p∈ C⁎ are completely classified. As an application, we also present the classifications of finite non-trivial irreducible conformal modules over finite quotient algebras s (n) for n≥ 1 and sh which is isomorphic to a subalgebra of Lie conformal algebra of N= 2 superconformal algebra. Moreover, as a generalized version of S (p), the infinite Lie conformal superalgebras GS (p) are constructed, which have a subalgebra isomorphic to the finite Lie conformal algebra of N= 2 superconformal algebra.