Note on SLE and logarithmic CFT

Abstract

It is discussed how stochastic evolutions may be linked to logarithmic conformal field theory. This introduces an extension of the stochastic Loewner evolutions. Based on the existence of a logarithmic null vector in an indecomposable highest-weight module of the Virasoro algebra, the representation theory of the logarithmic conformal field theory is related to entities conserved in mean under the stochastic process.

10 pages, LaTeX, v2: version to be published

References in corpus (3)

• A Guide to Stochastic Loewner Evolution and its Applications
• On Stochastic Evolutions and Superconformal Field Theory
• Logarithmic Conformal Null Vectors and SLE

Cited by in corpus (11)

• Multiple Schramm-Loewner evolutions for conformal field theories with Lie algebra symmetries
• Coset Graphs in Bulk and Boundary Logarithmic Minimal Models
• SLE local martingales in logarithmic representations
• Affine Jordan cells, logarithmic correlators, and hamiltonian reduction
• Four-Point Functions in Logarithmic Conformal Field Theories
• On logarithmic solutions to the conformal Ward identities
• Local martingales associated with Schramm-Loewner evolutions with internal symmetry
• Schramm-Loewner evolution with Lie superalgebra symmetry
• Schramm--Loewner-evolution-type growth processes corresponding to Wess--Zumino--Witten theories
• q-deformed Loewner evolution
• Urn models, Markov chains and random walks in cosmological topologically massive gravity at the critical point