Perturbed Defects and T-Systems in Conformal Field Theory

Abstract

Defect lines in conformal field theory can be perturbed by chiral defect fields. If the unperturbed defects satisfy su(2)-type fusion rules, the operators associated to the perturbed defects are shown to obey functional relations known from the study of integrable models as T-systems. The procedure is illustrated for Virasoro minimal models and for Liouville theory.

24 pages, 13 figures; v2: typos corrected, in particular in (2.10) and app. A.2, version to appear in J.Phys.A

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• Fusion of conformal interfaces
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• Solving topological defects via fusion
• Defect flows in minimal models
• Defect loops in gauged Wess-Zumino-Witten models
• Integrable Kondo problems
• Open topological defects and boundary RG flows
• Defects and Permutation branes in the Liouville field theory
• Form factors in the presence of integrable defects
• The classifying algebra for defects
• Non-local conserved charges from defects in perturbed conformal field theory
• Defects, dualities and the geometry of strings via gerbes. I. Dualities and state fusion through defects
• Integrable perturbations of conformal field theories and Yetter-Drinfeld modules
• T-systems and Y-systems for quantum affinizations of quantum Kac-Moody algebras
• Excited state g-functions from the Truncated Conformal Space
• A Monoidal Category for Perturbed Defects in Conformal Field Theory
• Defects and Perturbation
• Fusion of interfaces in Landau-Ginzburg models: a functorial approach
• Ising model in a boundary magnetic field with random discontinuities
• Topological defects in open string field theory