Line Defects in Conformal Field Theory
From Weak to Strong Coupling
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Beschreibung
This book investigates conformal line defects in both the weak- and strong-coupling regimes. Conformal field theory finds applications across diverse fields, from statistical systems at criticality to quantum gravity through the AdS/CFT correspondence. These theories are subject to strong constraints, enabling a systematic non-perturbative analysis. Conformal defects provide a controlled means of breaking the symmetry, introducing new physical phenomena while preserving crucial benefits of the underlying conformal symmetry. Two distinct classes of models are studied. First, we focus on the supersymmetric Wilson line in N = 4 Super Yang–Mills, which serves as an ideal testing ground for the development of innovative techniques such as the analytic conformal bootstrap. The second class consists of magnetic lines in Yukawa models, which have fascinating applications in 3d condensed-matter systems. These systems have the potential to emulate phenomena observed in the Standard Model in a low-energy setting.
This book investigates conformal line defects in both the weak- and strong-coupling regimes. Conformal field theory finds applications across diverse fields, from statistical systems at criticality to quantum gravity through the AdS/CFT correspondence. These theories are subject to strong constraints, enabling a systematic non-perturbative analysis. Conformal defects provide a controlled means of breaking the symmetry, introducing new physical phenomena while preserving crucial benefits of the underlying conformal symmetry. Two distinct classes of models are studied. First, we focus on the supersymmetric Wilson line in N = 4 Super Yang–Mills, which serves as an ideal testing ground for the development of innovative techniques such as the analytic conformal bootstrap. The second class consists of magnetic lines in Yukawa models, which have fascinating applications in 3d condensed-matter systems. These systems have the potential to emulate phenomena observed in the Standard Model in a low-energy setting.
Nominated as an Outstanding PhD Thesis by the Humboldt University of Berlin Presents a thorough investigation of line defects in important strong- and weak-coupling systems Includes in-depth reviews of the state-of-the-art and new results
Autor*in
Julien Barrat
Themen in »Line Defects in Conformal Field Theory«
Conformal defects Conformal symmetry AdS/CFT Supersymmetry Conformal bootstrap Critical phenomena Strong coupling