Supersymmetric Kac-Moody algebra in graded-chiral models (Q801021)

In quantum field theory, a Kac-Moody algebra is defind by the relations \([Q_ a^{(n)},Q_ b^{(m)}]=C^ c_{ab} Q_ c^{(n+m)}+C_ n \delta_{m+n,0} \delta_{a,b},\) \(-\infty <m,n<\infty\), where the C term is called the center of the algebra. In this paper, it is shown that the supersymmetric form of such an algebra can be generated from the hidden symmetry in graded-chiral models.