摘要
本文定义了共形场论中能动量张量算子积展开式的q—畸变形式,由此出发,推导出了含有中心项的q—畸变Virasoro代数,当参数q→1时,就退化为普通的Vira-soro代数;最后,找到了与这种中心扩张相对应的q—畸变雅可比关系式。值得指出的是,利用这种畸变代数可以得出q—畸变的Kdv方程。
By defining the q—deformed operator product expansion of the stress—energy tensor in a confor- mal field theory,I obtained the quantum deformation of the Virasoro aalgebra with the central term,which coincides with the usual one in the Limit of q→1.The“q-deformed jacobi identity” was found,and the q-deformed Kdv equation can be get,corresponding to this kind of the cen- tral extension.
关键词
q畸变
VIRASORO代数
中心扩张
Stress-energy tensor q-deformed Virasoro algebra Jacobi identity Kdv equation
