Line Defects in Conformal Field Theory - Barrat, Julien; - Prospero Internet Bookshop

Line Defects in Conformal Field Theory: From Weak to Strong Coupling
 
Product details:

ISBN13:9783031713477
ISBN10:3031713478
Binding:Hardback
No. of pages:222 pages
Size:235x155 mm
Language:English
Illustrations: 26 Illustrations, black & white; 12 Illustrations, color
700
Category:

Line Defects in Conformal Field Theory

From Weak to Strong Coupling
 
Edition number: 2024
Publisher: Springer
Date of Publication:
Number of Volumes: 1 pieces, Book
 
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Short description:

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.

Long description:

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.

Table of Contents:

Chapter 1. INTRODUCTION.- Chapter 2. FOUNDATIONS.- Chapter 3. BOOTSTRAPPING HOLOGRAPHIC DEFECT CORRELATORS.- Chapter 4. MULTIPOINT CORRELATORS ON THE WILSON-LINE DEFECT CFT.- Chapter 5. LINE DEFECT CORRELATORS IN FERMIONIC CFT.- Chapter 6. CONCLUSIONS.