Logarithmic conformal field theory with boundary

Abstract

This lecture note covers topics on boundary conformal field theory, modular transformations and the Verlinde formula, and boundary logarithmic CFT. An introductory review on CFT with boundary and a discussion of its applications to logarithmic cases are given. LCFT at $c=-2$ is mainly discussed.

38 pages, 4 figures, LaTeX. Notes of lectures at the International Summer School on Logarithmic Conformal Field Theory and its Applications, Sept. 2001, IPM, Tehran. Typos fixed

References in corpus (7)

• Fusion rules and logarithmic representations of a WZW model at fractional level
• Modular transformation and boundary states in logarithmic conformal field theory
• Boundary States in c=-2 Logarithmic Conformal Field Theory
• Boundary states in boundary logarithmic CFT
• Consistent superconformal boundary states
• World Sheet Logarithmic CFT in AdS Strings, Ghost-Matter Mixing and M-theory
• Logarithmic Currents in the SU(2)_0 WZNW model

Cited by in corpus (22)

• Logarithmic Minimal Models
• Logarithmic Conformal Field Theory: Beyond an Introduction
• Virasoro representations and fusion for general augmented minimal models
• Logarithmic torus amplitudes
• From boundary to bulk in logarithmic CFT
• The ABC (in any D) of Logarithmic CFT
• The logarithmic triplet theory with boundary
• Integrable Boundary Conditions and W-Extended Fusion in the Logarithmic Minimal Models LM(1,p)
• Fusion algebra of critical percolation
• W-Extended Logarithmic Minimal Models
• Pre-logarithmic and logarithmic fields in a sandpile model
• W-Extended Fusion Algebra of Critical Percolation
• New boundary conditions for the c=-2 ghost system
• Polynomial fusion rings of W-extended logarithmic minimal models
• Notes on Generalised Nullvectors in logarithmic CFT
• Graph fusion algebras of WLM(p,p')
• The origin of multiplets of chiral fields in SU(2)_k WZNW at rational level
• Fusion and (non)-rigidity of Virasoro Kac modules in logarithmic minimal models at $(p,q)$-central charge
• Two-Point Functions and Logarithmic Boundary Operators in Boundary Logarithmic Conformal Field Theories
• Two-Point Functions and Boundary States in Boundary Logarithmic Conformal Field Theories
• Indecomposable Representations in Z_n Symmetric b,c Ghost Systems via Deformations of the Virasoro Field
• Critical behavior in a non-local interface model