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Points, Lines, and Surfaces at Criticality

  • Book
  • © 2019

Overview

Authors:
  1. Edoardo Lauria

    1. Department of Mathematical Sciences, Durham University, Durham, UK

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  • 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

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Preamble

    • Edoardo Lauria
    Pages 1-5

  3. Introduction to Conformal Field Theories

    • Edoardo Lauria
    Pages 7-39

  4. Defects in Conformal Field Theories

    • Edoardo Lauria
    Pages 41-90

  5. An Étude on \(\mathcal {N}=2\) Conformal Manifolds in 3d

    • Edoardo Lauria
    Pages 91-136

  6. Superconformal Blocks for SCFTs with Eight Supercharges

    • Edoardo Lauria
    Pages 137-157

  7. Conclusion

    • Edoardo Lauria
    Pages 159-161

  8. Back Matter

    Pages 163-164
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematical Sciences, Durham University, Durham, UK

    Edoardo Lauria

Bibliographic Information

  • Book Title: Points, Lines, and Surfaces at Criticality

  • Authors: Edoardo Lauria

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-030-25730-9

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-25729-3Published: 08 August 2019

  • Softcover ISBN: 978-3-030-25732-3Published: 15 August 2020

  • eBook ISBN: 978-3-030-25730-9Published: 30 July 2019

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XIII, 164

  • Number of Illustrations: 4 b/w illustrations, 17 illustrations in colour

  • Topics: Quantum Field Theories, String Theory, Condensed Matter Physics, Mathematical Physics

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