论文标题
从r(p,q)定义的量子代数的广义witt和witt n-algebras,virasoro代数和约束以及kDV方程
Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras
论文作者
论文摘要
我们对WITT和Virasoro代数进行概括,并从已知的R(P,Q)定义的量子代数(以前在J. Math中引入的已知r(P,Q)量子代数。物理。 51,063518,(2010年)。研究和讨论相关的相关属性。此外,我们构建了r(p,q)定向的n-代数,并确定玩具模型的virasoro约束,这在矩阵模型的研究中起着重要作用。最后,作为说明的问题,为文献中已知的主要特定变形量子代数提供了明确的结果。
We perform generalizations of Witt and Virasoro algebras, and derive the corresponding Korteweg-de Vries equations from known R(p,q)-deformed quantum algebras previously introduced in J. Math. Phys. 51, 063518, (2010). Related relevant properties are investigated and discussed. Besides, we construct the R(p,q)-deformed Witt n- algebra, and determine the Virasoro constraints for a toy model, which play an important role in the study of matrix models. Finally, as matter of illustration, explicit results are provided for main particular deformed quantum algebras known in the literature.