中文

关于KP层次、$\hat{W}_{\infty}$代数与共形SL(2,R)/U(1)模型——经典与量子情形

高能物理 - 理论 2007-05-23 v1

摘要

我们对我们最近关于可积无限KP层次、非线性W^\hat{W}_{\infty}流代数与共形非紧致SL(2,R)/U(1)SL(2,R)/U(1)陪集模型之间在经典和量子层面上的相互关系的结果给出了统一描述。特别地,我们通过量子化SL(2,R)k/U(1)SL(2,R)_k/U(1)模型来变形第二KP哈密顿结构,并构造一个无限的可交换量子W^\hat{W}_{\infty}荷集(至少在kk=1时),从而提出了KP层次的量子版本。

关键词

引用

@article{arxiv.hep-th/9210162,
  title  = {On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model --- The Classical and Quantum Cases},
  author = {Feng Yu and Yong-Shi Wu},
  journal= {arXiv preprint arXiv:hep-th/9210162},
  year   = {2007}
}

备注

(Invited talk given the second at the XXI International Conference on Differential Geometric Methods in Theoretical Physics, Nankai Institute of Mathematics, Tianjin, China; June 5-9, 1992; to appear in Proceedings.), 12p, Latex file