Collective Hamiltonians with Kac-Moody Algebraic Conditions
  We describe the general framework for constructing collective--theory Hamiltonians whose hermicity 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 $W_n$--constraints, relevant to $n$-matrix models, is described for the Jacobians. 
Jean Avan (LPTHE Paris 6/7, France) and Antal Jevicki (Physics Dept.   Brown University, USA)