广义Grassmann代数及其与扩展超对称模型的联系
高能物理 - 理论
2007-05-23 v2
摘要
证明了具有2N=D个费米子生成元的费米Heisenberg-Weyl代数等价于具有两个分数生成元的广义Grassmann代数。2、3和4维Heisenberg-Weyl代数明确地用分数生成元给出。这些代数被用于N=2,3,4扩展超对称的表述。作为例子，我们用广义Grassmann代数的生成元重新表述了超对称Korteweg-de Vries方程的Lax方法。
关键词
引用
@article{arxiv.hep-th/0110246,
title = {Generalized Grassmann Algebras and its Connection to the Extended Supersymmetric Models},
author = {A. P. Isaev and Z. Popowicz and O. Santillan},
journal= {arXiv preprint arXiv:hep-th/0110246},
year = {2007}
}
备注
LaTeX, 14 pages, added references and corrected some typos. To be published in Proc. of Int. Workshop ``Supersymmetries and Quantum Symmetries'', Sept. 21-25, 2001, Karpacz, Poland