Boundary States in c=-2 Logarithmic Conformal Field Theory

Abstract

Starting from first principles, a constructive method is presented to obtain boundary states in conformal field theory. It is demonstrated that this method is well suited to compute the boundary states of logarithmic conformal field theories. By studying the logarithmic conformal field theory with central charge c=-2 in detail, we show that our method leads to consistent results. In particular, it allows to define boundary states corresponding to both, indecomposable representations as well as their irreducible subrepresentations.

LaTeX, 1+24 pages, 4 figures, v2: rework of section 6 and minor corrections

References in corpus (4)

• Bits and Pieces in Logarithmic Conformal Field Theory
• Conformal Correlation Functions, Frobenius Algebras and Triangulations
• Modular transformation and boundary states in logarithmic conformal field theory
• Boundary states in boundary logarithmic CFT

Cited by in corpus (25)

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• From boundary to bulk in logarithmic CFT
• Logarithmic torus amplitudes
• A c=-2 boundary changing operator for the Abelian sandpile
• Fusion rules and boundary conditions in the c=0 triplet model
• The logarithmic triplet theory with boundary
• Radford, Drinfeld, and Cardy boundary states in (1,p) logarithmic conformal field models
• The arboreal gas and the supersphere sigma model
• Branes in the GL(1|1) WZNW-Model
• The GL(1|1)-symplectic fermion correspondence
• Pre-logarithmic and logarithmic fields in a sandpile model
• Logarithmic intertwining operators and vertex operators
• Logarithmic conformal field theory with boundary
• Modular invariant partition function of critical dense polymers
• The four height variables, boundary correlations, and dissipative defects in the Abelian sandpile model
• New boundary conditions for the c=-2 ghost system
• Boundary conditions and defect lines in the Abelian sandpile model
• Minimal Superstrings and Loop Gas Models
• Boundary States and Symplectic Fermions
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• Extended multiplet structure in Logarithmic Conformal Field Theories
• Two-Point Functions and Boundary States in Boundary Logarithmic Conformal Field Theories
• Two-Point Functions and Logarithmic Boundary Operators in Boundary Logarithmic Conformal Field Theories
• Some Aspects of c=-2 Theory