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Points, Lines, and Surfaces at Criticality de Edoardo Lauria

Points, Lines, and Surfaces at Criticality: Springer Theses

Autor Edoardo Lauria
en Limba Engleză Paperback – 15 aug 2020
This thesis offers a fascinating journey through various non-perturbative aspects of Conformal Theories, in particular focusing on the Conformal Bootstrap Programme and its extensions to theories with various degrees of symmetry. Because of the preeminent role of Conformal Theories in Nature, as well as the great generality of the results here obtained, this analysis directly applies to many different areas of research. The content of this thesis is certainly relevant for the physics community as a whole and this relevance is well motivated and discussed along the various chapters of this work.

The work is self-contained and starts with an original introduction to conformal theories, defects in such theories and how they lead to constraints on data and an extension of the bootstrap programme. This situation is often realized by critical systems with impurities, topological insulators, or – in the high-energy context – by Wilson and 't Hooft operators. The thesis continues with original research results of the author, including supersymmetric extensions. These results may be relevant non only in the high energy physics context - where supersymmetry is required for the theory to be consistent - but also for condensed matter systems that enjoy supersymmetry emergence at long distances.
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Specificații

ISBN-13: 9783030257323
ISBN-10: 3030257320
Pagini: 164
Ilustrații: XIII, 164 p. 21 illus., 17 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.26 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria Springer Theses

Locul publicării:Cham, Switzerland

Cuprins

Quantum Field Theories.- Conformal Field Theories.- Defects in Conformal Field Theories.- An Étude on N = 2 Conformal Manifolds in 3d.- Superconformal Blocks for SCFTs with Eight Supercharges.- Conclusion.

Textul de pe ultima copertă

This thesis offers a fascinating journey through various non-perturbative aspects of Conformal Theories, in particular focusing on the Conformal Bootstrap Programme and its extensions to theories with various degrees of symmetry. Because of the preeminent role of Conformal Theories in Nature, as well as the great generality of the results here obtained, this analysis directly applies to many different areas of research. The content of this thesis is certainly relevant for the physics community as a whole and this relevance is well motivated and discussed along the various chapters of this work.

The work is self-contained and starts with an original introduction to conformal theories, defects in such theories and how they lead to constraints on data and an extension of the bootstrap programme. This situation is often realized by critical systems with impurities, topological insulators, or -in the high-energy context- by Wilson and 't Hooft operators. The thesis continues with original research results of the author, including supersymmetric extensions. These results may be relevant non only in the high energy physics context - where supersymmetry is required for the theory to be consistent - but also for condensed matter systems that enjoy supersymmetry emergence at long distances.

Caracteristici

Nominated as an outstanding Ph.D. thesis by the Institute for Theoretical Physics, KU Leuven, Leuven, Belgium Presents new results in Conformal Theories with broad applicability in theoretical physics Considers the emergence of supersymmetry in condensed matter systems at long distances