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arxiv: 1004.1909 · v2 · pith:3VB7MG5Unew · submitted 2010-04-12 · ✦ hep-th

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

classification ✦ hep-th
keywords perturbedchargesdefectsfieldcommuteconservedoperatorstheory
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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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  1. Fusion of Integrable Defects and the Defect $g$-Function

    hep-th 2026-05 unverdicted novelty 5.0

    Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.