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

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

2010-04-12

arxiv.org/abs/1004.1909v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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