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SLE for theoretical physicists

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arxiv cond-mat/0503313 v2 pith:LQM63EWV submitted 2005-03-13 cond-mat.stat-mech hep-th

classification cond-mat.stat-mechhep-th
keywords applicationarticlebehaviourconceptualconformalconnectioncriticalemphasis
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This article provides an introduction to Schramm(stochastic)-Loewner evolution (SLE) and to its connection with conformal field theory, from the point of view of its application to two-dimensional critical behaviour. The emphasis is on the conceptual ideas rather than rigorous proofs.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models

    cond-mat.stat-mech 2019-08 accept novelty 7.0 of 10

    A six-loop field-theoretic calculation gives the fractal dimension of critical curves and the crossover exponent in O(n) models, with estimates for LERW, SAW, Ising, XY and Heisenberg systems.

  2. Making complex CFTs real: The two-dimensional Potts model for $Q>4$ and complex $Q$

    cond-mat.stat-mech 2026-06 unverdicted novelty 5.0 of 10

    Analytic continuation of known conformal data from the Q≤4 Potts loop model yields complex CFTs describing the model for Q>4 and complex Q with suitable complex couplings, supported by transfer-matrix checks.

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