论文标题
实现危害危机的代数及其轻松的模块
A realisation of the Bershadsky--Polyakov algebras and their relaxed modules
论文作者
论文摘要
我们介绍了通用/简单的Bershadsky--polyakov顶点代数作为通用/简单/简单Zamolodchikov vertex代数的张量产物的亚代代数和同型lattice顶点代数。这概括了与$ \ mathfrak {sl} _2 $和$ \ mathfrak {osp}（1 | 2）$相关的通用/简单仿射顶点代数的实现。同样构建了放松的最高重量模块，建立了其不可还原性的条件，并明确计算其特征，从而概括了Arxiv的字符公式：1803.01989。
We present a realisation of the universal/simple Bershadsky--Polyakov vertex algebras as subalgebras of the tensor product of the universal/simple Zamolodchikov vertex algebras and an isotropic lattice vertex algebra. This generalises the realisation of the universal/simple affine vertex algebras associated to $\mathfrak{sl}_2$ and $\mathfrak{osp}(1|2)$ given in arXiv:1711.11342. Relaxed highest-weight modules are likewise constructed, conditions for their irreducibility are established, and their characters are explicitly computed, generalising the character formulae of arXiv:1803.01989.
