Collective Hamiltonians with Kac-Moody Algebraic Conditions
Abstract
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 Wn--constraints, relevant to n-matrix models, is described for the Jacobians.
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