论文标题
$ n = 1 $ ramond代数的简单限制模块作为顶点操作员superalgebras的弱模块
Simple restricted modules over the $N=1$ Ramond algebra as weak modules for vertex operator superalgebras
论文作者
论文摘要
在本文中，构建了$ n = 1 $ ramond代数上的一类新的简单模块，这些模块是由某些有限的尺寸可解决的lie superalgebras构建的。这些新模块是$ n = 1 $ ramond代数的简单限制模块。结合\ cite {l1}的结果，简单弱$ψ$ twist的$ \ bar w（0，c）$ - 在某些条件下的模块的分类。最后，作为各种版本的Whittaker模块，一些简单限制的$ n = 1 $ RAMOND模块的示例（在\ cite {lpx}中研究了经典的Whittaker模块）。
In the present paper, a class of new simple modules over the $N=1$ Ramond algebra are constructed, which are induced from simple modules over some finite dimensional solvable Lie superalgebras. These new modules are simple restricted modules over the $N=1$ Ramond algebra. Combined with the result in \cite{L1}, a classification of simple weak $ψ$-twisted $\bar W(0,c)$-modules under certain conditions is also given. At last, some examples of simple restricted $N=1$ Ramond modules as various versions of Whittaker modules are presented (classical Whittaker modules were studied in \cite{LPX}).
