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Chern-Simons Theory and Equivariant Factorization Algebras

Authors:

  • Encoding non-perturbative phenomena in classical observables

Part of the book series: BestMasters (BEST)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VIII
  2. Introduction

    • Corina Keller
    Pages 1-16
  3. Principal Bundles and Gauge Theory

    • Corina Keller
    Pages 17-40
  4. Differential Graded Algebras

    • Corina Keller
    Pages 41-61
  5. Factorization Algebras

    • Corina Keller
    Pages 81-91
  6. Observables in U(1) Chern-Simons Theory

    • Corina Keller
    Pages 93-109
  7. Back Matter

    Pages 111-154

About this book

Corina Keller studies non-perturbative facets of abelian Chern-Simons theories. This is a refinement of the entirely perturbative approach to classical Chern-Simons theory via homotopy factorization algebras of observables that arise from the associated formal moduli problem describing deformations of flat principal bundles with connections over the spacetime manifold. The author shows that for theories with abelian group structure, this factorization algebra of classical observables comes naturally equipped with an action of the gauge group, which allows to encode non-perturbative effects in the classical observables.

About the Author:

Corina Keller currently is a doctoral student in the research group of Prof. Dr. Damien Calaque at the Université Montpellier, France. She is mostly interested in the mathematical study of field theories. Her master’s thesis was supervised by PD Dr. Alessandro Valentino and Prof. Dr. Alberto Cattaneo at Zurich University, Switzerland.

Reviews

“This book is very valuable as a guide to the mathematics needed for and going into Chern-Simons theory. … I think this is a fabulous book, and Keller should be applauded for having written a magnificent master’s thesis.” (Michael Berg, MAA Reviews, August 04, 2019)

Authors and Affiliations

  • Institute of Mathematics, University of Zurich, Zürich, Switzerland

    Corina Keller

About the author

Corina Keller currently is a doctoral student in the research group of Prof. Dr. Damien Calaque at the Université Montpellier, France. She is mostly interested in the mathematical study of field theories. Her master’s thesis was supervised by PD Dr. Alessandro Valentino and Prof. Dr. Alberto Cattaneo at Zurich University, Switzerland.

Bibliographic Information

  • Book Title: Chern-Simons Theory and Equivariant Factorization Algebras

  • Authors: Corina Keller

  • Series Title: BestMasters

  • DOI: https://doi.org/10.1007/978-3-658-25338-7

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2019

  • Softcover ISBN: 978-3-658-25337-0Published: 05 February 2019

  • eBook ISBN: 978-3-658-25338-7Published: 25 January 2019

  • Series ISSN: 2625-3577

  • Series E-ISSN: 2625-3615

  • Edition Number: 1

  • Number of Pages: VIII, 154

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Mathematical Physics, Category Theory, Homological Algebra, Quantum Field Theories, String Theory

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access