English

Non-local conserved charges from defects in perturbed conformal field theory

High Energy Physics - Theory 2014-11-20 v2

Abstract

Perturbing a Virasoro minimal model by the (1,3) primary bulk field results in an integrable field theory. In this paper, an infinite set of commuting conserved charges is obtained by considering defects: a one-parameter family of perturbed defect operators is given, and it is shown that these operators mutually commute, that they commute with the Hamiltonian of the perturbed CFT, and that they satisfy a T-system functional relation. The formulation in terms of perturbed defects is a modification of the original prescription for such charges by Bazhanov, Lukyanov and Zamolodchikov.

Keywords

Cite

@article{arxiv.1004.1909,
  title  = {Non-local conserved charges from defects in perturbed conformal field theory},
  author = {Ingo Runkel},
  journal= {arXiv preprint arXiv:1004.1909},
  year   = {2014}
}

Comments

32 pages, several figures; v2: minor changes, version to appear in J.Phys.A