Journal
NUCLEAR PHYSICS B
Volume 575, Issue 3, Pages 513-534Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0550-3213(00)00060-2
Keywords
random; matrix; surface; string; vortex; curvature
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We solve exactly the 6-vertex model on a dynamical random lattice, using its representation as a large N matrix model. The model describes a gas of dense nonintersecting oriented loops coupled to the local curvature defects on the lattice. The model can be mapped to the c = 1 string theory, compactified at some length depending on the vertex coupling. We give explicit expression for the disk amplitude and evaluate the fractal dimension of its boundary, the average number of loops and the dimensions of the vortex operators, which vary continuously with the vertex coupling. (C) 2000 Elsevier Science B.V. All rights reserved.
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