论文标题
扭曲的海森伯格 - 维拉索罗顶点操作员代数的自动形态组和扭曲模块
Automorphism group and twisted modules of the twisted Heisenberg-Virasoro vertex operator algebra
论文作者
论文摘要
我们首先确定扭曲的Heisenberg-virasoro Virasoro Virasoro vertex操作员代数$ v _ {\ Mathcal {l}}}（\ ell_ {123}，0）$。然后，对于任何整数$ t> 1 $，我们引入了任何新的lie algebra $ \ new lie algebra $ \ l} $σ_{t} $ - 扭曲的$ v _ {\ Mathcal {l}}（\ ell_ {123}，0）$（$ \ ell_ {2} = 0 $） - 模块是一对一的与有限的$ \ \ \ \ \ \ \ \ \ \ \ {l} $ {t} $ eell的一对对应关系。 $σ_{t} $是$ v _ {\ Mathcal {l}}的订单$ t $自动形态，（\ ell_ {123}，0）$。最后，我们给出了不可比$σ_{t} $ - 扭曲的$ v _ {\ Mathcal {l}}}（\ ell_ {123}，0）$（$ \ ell_ {2} = 0 $） - 模块的完整列表。
We first determine the automorphism group of the twisted Heisenberg-Virasoro vertex operator algebra $V_{\mathcal{L}}(\ell_{123},0)$.Then, for any integer $t>1$, we introduce a new Lie algebra $\mathcal{L}_{t}$, and show that $σ_{t}$-twisted $V_{\mathcal{L}}(\ell_{123},0)$($\ell_{2}=0$)-modules are in one-to-one correspondence with restricted $\mathcal{L}_{t}$-modules of level $\ell_{13}$, where $σ_{t}$ is an order $t$ automorphism of $V_{\mathcal{L}}(\ell_{123},0)$. At the end, we give a complete list of irreducible $σ_{t}$-twisted $V_{\mathcal{L}}(\ell_{123},0)$($\ell_{2}=0$)-modules.
