论文标题
$ \ MATHCAL {R}(P,Q)$ - 变形超级Virasoro $ n $ -algebra
$\mathcal{R}(p,q)$-deformed super Virasoro $n$-algebra
论文作者
论文摘要
在本文中,我们在$ \ Mathcal {r}(p,q)$ - 变形的量子代数的框架中构建了超级维特代数和超级Virasoro代数。此外,我们执行超级$ \ MATHCAL {r}(p,q)$ - 变形$ n $ -Algebra,$ \ Mathcal {r}(r}(p,q)$ - 变形的virasoro $ n $ n $ n $ algebra,并讨论super $ $ $ \ \ nathcal $ \ mathcal {r}(p,q)$ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n-此外,我们定义并构建了另一个超级$ \ MATHCAL {r}(p,q)$ - 变形的witt $ n $ -algebra,并研究了超级$ \ Mathcal {r}(p,q)$ - $ - virasoro约束的玩具模型。从文献中已知的量子代数引起的相关特定病例是从形式主义得出的。
In this paper, we construct the super Witt algebra and super Virasoro algebra in the framework of the $\mathcal{R}(p,q)$-deformed quantum algebras. Moreover, we perform the super $\mathcal{R}(p,q)$-deformed Witt $n$-algebra, the $\mathcal{R}(p,q)$-deformed Virasoro $n$-algebra and discuss the super $\mathcal{R}(p,q)$-Virasoro $n$-algebra ($n$ even). Besides, we define and construct another super $\mathcal{R}(p,q)$-deformed Witt $n$-algebra and study a toy model for the super $\mathcal{R}(p,q)$-Virasoro constraints. Relevant particular cases induced from the quantum algebras known in the literature are deduced from the formalism developped.