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The raise and peel model is a one-dimensional stochastic model of a fluctuating interface with nonlocal interactions. We review its properties. It's phase diagram has a massive phase and a gapless phase with varying critical exponents. At the phase transition point, the model exhibits conformal invariance which is a space-time symmetry. Also at this point the model has several other facets which are the connections to associative algebras, two-dimensional fully packed loop models and combinatorics. |
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