Holomorphic parafermions in the Potts model and stochastic Loewner evolution

DOI10.1088/1742-5468/2006/12/P12001zbMath1456.82176arXivcond-mat/0608496OpenAlexW157479940MaRDI QIDQ4968904

Valentina Riva, John L. Cardy

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0608496

zbMATH Keywords

conformal field theorysolvable lattice modelsrigorous results in statistical mechanics

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Other physical applications of random processes (60K40) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (9)

Holomorphic spinor observables in the critical Ising model ⋮ Integrability and braided tensor categories ⋮ Macroscopic loops in the loop \(O(n)\) model at Nienhuis' critical point ⋮ Exact spin quantum Hall current between boundaries of a lattice strip ⋮ On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field ⋮ Lectures on the Ising and Potts Models on the Hypercubic Lattice ⋮ Discrete holomorphicity and integrability in loop models with open boundaries ⋮ Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\) ⋮ Conserved currents in the six-vertex and trigonometric solid-on-solid models

Cites Work

• Unnamed Item
• Calogero-Sutherland model and bulk-boundary correlations in conformal field theory
• Identification of the stress-energy tensor through conformal restriction in SLE and related processes
• Conformal field theories of stochastic Loewner evolutions
• Scaling limits of loop-erased random walks and uniform spanning trees
• SLE\(_{\kappa }\) growth processes and conformal field theories
• Towards conformal invariance of 2D lattice models
• Discrete Riemann surfaces and the Ising model.

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