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 $W_n$--constraints, relevant to $n$-matrix models, is described for the Jacobians.

Additional results and references; Phyzztex

References in corpus (2)

• Loop Space Hamiltonians And Field Theory Of Non-Critical Strings
• On $\widehat{sl}(3)$ reduction, quantum gauge transformations, and $\mathcal{W}-$ algebras singular vectors

Cited by in corpus (2)

• Collective field theory of the matrix-vector model
• Effects in Gauge Theories and a Harmonic Function on $E_{10}$