Points, Lines, and Surfaces at Criticality - Lauria, Edoardo

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Auteur(s) : Lauria, Edoardo

Editeur : Springer International Publishing

Langue : Anglais

Parution : 31/07/2020

Format : Moyen, de 350g à 1kg

Nombre de pages : 180

Expédition : 283

Dimensions : 23.5 x 15.5 x 1.1

ISBN : 9783030257323

Résumé :
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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Biographie:
Edoardo Lauria started his studies in Physics in Turin (Italy) and has concluded his Ph.D. at KU Leuven (Belgium) in 2018. His doctoral thesis has been published in the Springer Thesis series with the title Points, Lines, and Surfaces at Criticality. Currently, he holds a postdoctoral research position at Durham University and his research mainly focuses on conformal field theories. Antoine Van Proeyen is professor emeritus at KU Leuven, Belgium. He started his research on supergravity in 1979, soon after his Ph.D. He has been involved in the construction of various supergravity theories, resulting special geometries, relations to string theory and applications to phenomenology and cosmology. He is co-author of the textbook 'Supergravity' with prof. Dan Freedman and he published 150 research papers with an h impact factor over 50. ...

Sommaire:

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