Starting from the free field realization of Kac-Moody Lie algebra,we define a generalized Yang-Yang function.Then for the Lie algebra of type An,we derive braiding and fusion matrix by braiding the thimble from the ge...Starting from the free field realization of Kac-Moody Lie algebra,we define a generalized Yang-Yang function.Then for the Lie algebra of type An,we derive braiding and fusion matrix by braiding the thimble from the generalized Yang-Yang function.One can construct a knots invariant H(K)from the braiding and fusion matrix.It is an isotropy invariant and obeys a skein relation.From them,we show that the corresponding knots invariant is HOMFLY polynomial.展开更多
文摘Starting from the free field realization of Kac-Moody Lie algebra,we define a generalized Yang-Yang function.Then for the Lie algebra of type An,we derive braiding and fusion matrix by braiding the thimble from the generalized Yang-Yang function.One can construct a knots invariant H(K)from the braiding and fusion matrix.It is an isotropy invariant and obeys a skein relation.From them,we show that the corresponding knots invariant is HOMFLY polynomial.
