Basis for solutions of the Benoit \& Saint-Aubin PDEs with particular asymptotics properties

DOI10.4171/AIHPD/81zbMath1437.81082arXiv1605.06053WikidataQ114021525 ScholiaQ114021525MaRDI QIDQ2176598

Eveliina Peltola

Publication date: 5 May 2020

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06053

zbMATH Keywords

quantum groupSchramm-Loewner evolution (SLE)conformal field theory (CFT)BPZ partial differential equations

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Integral representations of solutions to PDEs (35C15) Other hypergeometric functions and integrals in several variables (33C70) Critical phenomena in equilibrium statistical mechanics (82B27) Hopf algebras and their applications (16T05) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (5)

Boundary correlations in planar LERW and UST ⋮ Large deviations of multichordal \(\mathrm{SLE}_{0+}\), real rational functions, and zeta-regularized determinants of Laplacians ⋮ Toward a conformal field theory for Schramm-Loewner evolutions ⋮ Scaling limits of crossing probabilities in metric graph GFF ⋮ Conformal field theory for annulus SLE: partition functions and martingale-observables

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