论文标题
扭曲的量子仿射代数和epivariant $ ϕ $协调的量子顶点代数的模块
Twisted quantum affine algebras and equivariant $ϕ$-coordinated modules for quantum vertex algebras
论文作者
论文摘要
本文是关于建立与量子顶点代数的量子仿射代数的自然连接。在主要结果中，我们建立了$ \ hbar $ adic版本的Smash产品构建 量子顶点代数及其$ ϕ $协调的准模块，以前是在续集中获得的，我们构建了一个$ \ hbar $ - hbar $ - adic量子量子algebras $ v_l [[\ hbar]^η$ forte forte forte fortex Algebras $ v_ $ v_ $ v_ $ v _ $ a，d，e $ and ecurivariant $ ϕ $ - 协调的准模块，用于$ \ hbar $ -adic量子量子顶点代数$ v_l [[\ hbar]]^η$，带有某些专业$η$。
This paper is about establishing a natural connection of quantum affine algebras with quantum vertex algebras. Among the main results, we establish $\hbar$-adic versions of the smash product construction of quantum vertex algebras and their $ϕ$-coordinated quasi modules, which were obtained before in a sequel, we construct a family of $\hbar$-adic quantum vertex algebras $V_L[[\hbar]]^η$ as deformations of the lattice vertex algebras $V_L$, and establish a natural connection between twisted quantum affine algebras of type $A, D, E$ and equivariant $ϕ$-coordinated quasi modules for the $\hbar$-adic quantum vertex algebras $V_L[[\hbar]]^η$ with certain specialized $η$.
