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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 13: Quantum Field Theory III
MP 13.2: Talk
Thursday, March 21, 2024, 16:00–16:20, HL 001
Analytic bootstrap for conformal defects — •Davide Bonomi1, Lorenzo Bianchi2, Elia de Sabbata2, Aleix Gimenez-Grau3, and Valentina Forini4 — 1City, University of London — 2Università di Torino — 3Institut des Hautes Études Scientifiques — 4Humboldt Universitat zu Berlin
I will discuss line defects from the point of view of the analytic conformal bootstrap. These defects can represent magnetic impurities in condensed matter systems, such as quantum antiferromagnets. After reviewing a recently derived conformal dispersion relation, I will apply it to compute the two-point functions of bulk operators in presence of a localized magnetic field or a spin impurity in the critical O(N) model. I will discuss the defect and bulk CFT data that one can extract from it. Finally, I will present another dispersion relation that allows to compute the four-point function of defect operators.
Keywords: Conformal Field Theory; Bootstrap; Analytic conformal bootstrap; Conformal defects; 1d CFT