Conformal fields, restriction properties, degenerate representations and SLE.

DOI10.1016/S1631-073X(02)02581-5zbMath1101.81095arXivmath/0209382MaRDI QIDQ1565903

Wendelin Werner, Roland M. Friedrich

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209382

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) General theory of stochastic processes (60G07) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Continuum limits in quantum field theory (81T27)

Related Items

Girsanov's transformation for \(\text{SLE}(\kappa,\rho)\) processes, intersection exponents and hiding exponents. ⋮ On conformal field theory and stochastic Loewner evolution ⋮ \(\text{SLE}(\kappa ,\rho )\) and boundary Coulomb gas ⋮ The Brownian loop soup stress-energy tensor ⋮ Conformal loop ensembles and the stress-energy tensor ⋮ Logarithmic conformal null vectors and SLE ⋮ The dimension of the SLE curves ⋮ Conformal restriction: The chordal case ⋮ The expectation value of the number of loops and the left-passage probability in the double-dimer model ⋮ The scaling limit of two cluster boundaries in critical lattice models ⋮ Stochastic Lowner Evolution and the Scaling Limit of Critical Models

Cites Work

• The dimension of the SLE curves
• Infinite conformal symmetry in two-dimensional quantum field theory
• The Brownian loop soup
• Scaling limits of loop-erased random walks and uniform spanning trees
• Critical exponents for two-dimensional percolation
• Values of Brownian intersection exponents. III: Two-sided exponents
• One-arm exponent for critical 2D percolation
• Conformal invariance of planar loop-erased random walks and uniform spanning trees.
• Basic properties of SLE
• Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
• Conformal invariance in two-dimensional percolation
• Conformal restriction: The chordal case
• Values of Brownian intersection exponents. I: Half-plane exponents
• Values of Brownian intersection exponents. II: Plane exponents
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item