2013/03/05 by Victor Gurarie
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Conformal field theory #Conformal map #Field (mathematics) #Geometry and complex manifolds #Logarithm #Quantum field theory #Stochastic processes and statistical mechanics #Variety (cybernetics) #cond-mat.dis-nn #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1088/1751-8113/46/49/494003
published as J. Phys. A: Math. Theor. 46 (2013) 494003
arxiv created 2013/03/05 · openalex publication_date 2013/11/20 · arxiv updated 2014/05/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Logarithmic operators and logarithmic conformal field theories are reviewed. Prominent examples considered here include c=-2 and c=0 logarithmic conformal field theories. c=0 logarithmic conformal field theories are especially interesting since they describe some of the critical points of a variety of longstanding problems involving a two dimensional quantum particle moving in a spatially random potential, as well as critical two dimensional self avoiding random walks and percolation. Lack of classification of logarithmic conformal field theories remains a major impediment to progress towards finding complete solutions to these problems.