Perturbed defects and T-systems in conformal field theory

2007/11/30 by Ingo Runkel · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1088/1751-8113/41/10/105401

published as J.Phys.A41:105401,2008 · 24 pages, 13 figures; v2: typos corrected, in particular in (2.10) and app. A.2, version to appear in J.Phys.A

arxiv created 2008/02/18 · openalex publication_date 2008/02/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 with 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.

Citations

• Liouville field theory on a pseudosphere
• TFT construction of RCFT correlators I: partition functions
• Remarks on Liouville theory with boundary

Cited by

• A Monoidal Category for Perturbed Defects in Conformal Field Theory
• Fusion of conformal interfaces