Operator Spectrum and Exact Exponents of the Fully Packed Loop Model

Abstract

We develop a Coulomb gas description of the critical fluctuations in the fully packed loop model on the honeycomb lattice. We identify the complete operator spectrum of this model in terms of electric and magnetic {\em vector}-charges, and we calculate the scaling dimensions of these operators exactly. We also study the geometrical properties of loops in this model, and we derive exact results for the fractal dimension and the loop size distribution function. A review of the many different representations of this model that have recently appeared in the literature, is given.

17 pages latex, 3 postscript figures, IOP style files included

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• Geometric Aspects of Quantum Spin States
• Kac-Moody Symmetries of Critical Ground States
• The Kagome Antiferromagnet with Defects: Satisfaction, Frustration, and Spin Folding in a Random Spin System
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