English

Perturbed Defects and T-Systems in Conformal Field Theory

High Energy Physics - Theory 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.0711.0102,
  title  = {Perturbed Defects and T-Systems in Conformal Field Theory},
  author = {Ingo Runkel},
  journal= {arXiv preprint arXiv:0711.0102},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T09:38:45.071Z