Collective hamiltonians with Kac-Moody algebraic conditions Original Research Article

We describe the general framework for constructing collective-theory hamiltonians whose hermiticity requirements imply a Kac-Moody algebra of constraints on the associated jacobian. We give explicit examples for the algebras sl(2)k and sl(3)k. The reduction to Wn-constraints, relevant to n-matrix models, is described for the jacobians.