Jordan cells in logarithmic limits of conformal field theory

Abstract

It is discussed how a limiting procedure of conformal field theories may result in logarithmic conformal field theories with Jordan cells of arbitrary rank. This extends our work on rank-two Jordan cells. We also consider the limits of certain three-point functions and find that they are compatible with known results. The general construction is illustrated by logarithmic limits of (unitary) minimal models in conformal field theory. Characters of quasi-rational representations are found to emerge as the limits of the associated irreducible Virasoro characters.

16 pages, v2: discussion of three-point functions and characters included; ref. added, v3: version to be published

References in corpus (5)

• Logarithmic Minimal Models
• Virasoro representations and fusion for general augmented minimal models
• Affine Jordan cells, logarithmic correlators, and hamiltonian reduction
• On logarithmic solutions to the conformal Ward identities
• On conformal Jordan cells of finite and infinite rank

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• Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models
• Local logarithmic correlators as limits of Coulomb gas integrals
• Coset construction of logarithmic minimal models: branching rules and branching functions
• Fused RSOS Lattice Models as Higher-Level Nonunitary Minimal Cosets
• Kac boundary conditions of the logarithmic minimal models
• Off-Critical Logarithmic Minimal Models
• Logarithmic Minimal Models with Robin Boundary Conditions
• Staggered and affine Kac modules over $A_1^{(1)}$
• One-Dimensional Sums and Finitized Characters of $2\times 2$ Fused RSOS Models