MPS-RR 2001-24
August 2001

A String Bit Hamiltonian Approach to Two-Dimensional Quantum Gravity

Bergfinnur Durhuus

C.-W.H. Lee

Abstract

Motivated by the formalism of string bit models, or quantum matrix models, we study a class of simple Hamiltonian models of quantum gravity type in two space-time dimensions. These string bit models are special cases of a more abstract class of models defined in terms of the $sl_2$ subalgebra of the Virasoro algebra. They turn out to be solvable and their scaling limit coincides in special cases with known transfer matrix models of two-dimensional quantum gravity.

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