A String Bit Hamiltonian Approach to Two-Dimensional Quantum Gravity

Details A String Bit Hamiltonian Approach to Two-Dimensional Quantum Gravity A String Bit Hamiltonian Approach to Two-Dimensional Quantum Gravity

2001-08-21

arxiv.org/abs/hep-th/0108149v1

Nucl.Phys. B623 (2002) 201-219

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, no figure; LaTeX2e

Scientific paper

10.1016/S0550-3213(01)00628-9

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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