Collective Hamiltonians with Kac-Moody Algebraic Conditions

Details Collective Hamiltonians with Kac-Moody Algebraic Conditions Collective Hamiltonians with Kac-Moody Algebraic Conditions

1994-10-21

arxiv.org/abs/hep-th/9410166v2

Nucl.Phys. B439 (1995) 679-691

Physics

High Energy Physics

High Energy Physics - Theory

Additional results and references; Phyzztex

Scientific paper

10.1016/0550-3213(95)00015-K

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.

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