Conformal field theories of stochastic Loewner evolutions

From MaRDI portal
Publication:1416909

DOI10.1007/s00220-003-0881-xzbMath1046.81091arXivhep-th/0210015OpenAlexW2041725895MaRDI QIDQ1416909

Michel Bauer, Denis Bernard

Publication date: 16 December 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0210015




Related Items

Multiple backward Schramm-Loewner evolution and coupling with Gaussian free fieldEvolution of smooth shapes and integrable systemsSLE boundary visitsMultiple-SLE κ connectivity weights for rectangles, hexagons, and octagonsNumerical Tests of Schramm-Loewner Evolution in Random Lattice Spin ModelsOn conformal field theory of \(sLE(\kappa ,\rho )\)Large deviations of Schramm-Loewner evolutions: a surveyLocal martingales associated with Schramm-Loewner evolutions with internal symmetrySLE-type growth processes and the Yang–Lee singularityBoundary Liouville theory and 2D quantum gravityOn conformal field theory and stochastic Loewner evolutionGeometrical vs. Fortuin--Kasteleyn clusters in the two-dimensional \(q\)-state Potts modelOn stochastic evolutions and superconformal field theory\(q\)-deformed Loewner evolutionConformal field theory at the lattice level: discrete complex analysis and Virasoro structure\(\text{SLE}(\kappa ,\rho )\) and boundary Coulomb gasNumerical determination of the boundary condition changing operatorsSchramm–Loewner evolution with Lie superalgebra symmetryConformal field theory of dipolar SLE with the Dirichlet boundary conditionVIRASORO MODULE STRUCTURE OF LOCAL MARTINGALES OF SLE VARIANTSConformal field theory at central charge \(c=0\): a measure of the indecomposability \((b)\) parametersNesting statistics in the \(O(n)\) loop model on random planar mapsLarge deviations of multichordal \(\mathrm{SLE}_{0+}\), real rational functions, and zeta-regularized determinants of LaplaciansA formula for crossing probabilities of critical systems inside polygonsRigid Fuchsian systems in 2-dimensional conformal field theoriesFour-point boundary connectivities in critical two-dimensional percolation from conformal invarianceLogarithmic conformal null vectors and SLEOded Schramm: from circle packing to SLEConformal welding problem, flow line problem, and multiple Schramm–Loewner evolutionGlobal and local multiple SLEs for \(\kappa\leq4\) and connection probabilities for level lines of GFFOff-critical SLE(2) and SLE(4): a field theory approachHypotrochoids in conformal restriction systems and Virasoro descendantsRandom loops and conformal field theoryObservation of Schramm–Loewner evolution on the geometrical clusters of the Ising modelSchramm’s formula for multiple loop-erased random walksCorner percolation on \(\mathbb Z^{2}\) and the square root of 17Löwner-Kufarev Evolution in the Segal-Wilson GrassmannianLERW as an example of off-critical SLEsSLE in self-dual critical \(Z(N)\) spin systems: CFT predictionsFields, particles and universality in two dimensionsLöwner evolution driven by a stochastic boundary pointSchramm-Loewner-evolution-type growth processes corresponding to Wess-Zumino-Witten theoriesSLE and Virasoro representations: localizationThe Gaussian free field and SLE\(_{4}\) on doubly connected domainsConformal restriction: The chordal caseNote on Schramm-Loewner evolution for superconformal algebrasThe expectation value of the number of loops and the left-passage probability in the double-dimer modelToward a conformal field theory for Schramm-Loewner evolutionsA solution space for a system of null-state partial differential equations. IA solution space for a system of null-state partial differential equations. IIA solution space for a system of null-state partial differential equations. IIIA solution space for a system of null-state partial differential equations. IVScaling limits of crossing probabilities in metric graph GFFCoset construction of Virasoro minimal models and coupling of Wess–Zumino–Witten theory with Schramm–Loewner evolutionProposal for a conformal field theory interpretation of Watts’ differential equation for percolationThe scaling limit of two cluster boundaries in critical lattice modelsDipolar stochastic Loewner evolutionsHolomorphic parafermions in the Potts model and stochastic Loewner evolutionCONFORMAL FIELD THEORY IN TWO DIMENSIONSThe quantum group dual of the first-row subcategory for the generic Virasoro VOAStochastic Lowner Evolution and the Scaling Limit of Critical ModelsConformal invariance and its breaking in a stochastic model of a fluctuating interfaceOn multiple Schramm–Loewner evolutionsConformal blocks, \(q\)-combinatorics, and quantum group symmetrySchramm's formula and the Green's function for multiple SLEConformal invariance and $2D$ statistical physicsClassical and Stochastic Löwner–Kufarev EquationsMultiple Schramm-Loewner evolutions and statistical mechanics martingales