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Berlin 2024 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 13: Quantum Field Theory III

MP 13.2: Vortrag

Donnerstag, 21. März 2024, 16:00–16:20, HL 001

Analytic bootstrap for conformal defects — •Davide Bonomi1, Lorenzo Bianchi2, Elia de Sabbata2, Aleix Gimenez-Grau3, and Valentina Forini41City, 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

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