A supertrace identity and its applications to superintegrable systems

作者:Ma Wen Xiu*; He Jing Song; Qin Zhen Yun
来源:Journal of Mathematical Physics, 2008, 49(3): 033511.
DOI:10.1063/1.2897036

摘要

A supertrace identity on Lie superalgebras is established. It provides a tool for constructing super-Hamiltonian structures of zero curvature equations associated with Lie superalgebras. Applications in the case of the Lie superalgebra B(0,1) present super-Hamiltonian structures of a super-AKNS soliton hierarchy and a super-Dirac soliton hierarchy.