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Chern-Simons Theory and Equivariant Factorization Algebras

  • Corina Keller

Part of the BestMasters book series (BEST)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Corina Keller
    Pages 1-16
  3. Corina Keller
    Pages 17-40
  4. Corina Keller
    Pages 41-61
  5. Corina Keller
    Pages 81-91
  6. Corina Keller
    Pages 93-109
  7. Back Matter
    Pages 111-154

About this book

Introduction

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.

Contents
  • Gauge Theory
  • Differential Graded Algebras
  • Differential Graded Lie Algebras and Derived Deformation Theory
  • Factorization Algebras
  • Equivariant Factorization Algebras from Abelian Chern-Simons Theory
Target Groups
Scientists and students in the field of mathematical physics, theoretical physics and especially mathematics with focus on homotopy theory and homological algebra

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.

Keywords

Classical Chern-Simons Theory Equivariant Factorization Algebras Gauge Theory Homological Algebra Mathematical Physics Homotopy Theory Field Theory

Authors and affiliations

  • Corina Keller
    • 1
  1. 1.Institute of MathematicsUniversity of ZurichZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-658-25338-7
  • Copyright Information Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2019
  • Publisher Name Springer Spektrum, Wiesbaden
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-658-25337-0
  • Online ISBN 978-3-658-25338-7
  • Series Print ISSN 2625-3577
  • Series Online ISSN 2625-3615
  • Buy this book on publisher's site
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