Chern-Simons Theory and Equivariant Factorization Algebras
Authors: Keller, Corina
Free Preview- Encoding non-perturbative phenomena in classical observables
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- About this book
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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.
- About the authors
-
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
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“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)
- Table of contents (6 chapters)
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Introduction
Pages 1-16
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Principal Bundles and Gauge Theory
Pages 17-40
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Differential Graded Algebras
Pages 41-61
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L∞-Algebras and Derived Formal Moduli Problems
Pages 63-80
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Factorization Algebras
Pages 81-91
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Chern-Simons Theory and Equivariant Factorization Algebras
- Authors
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- Corina Keller
- Series Title
- BestMasters
- Copyright
- 2019
- Publisher
- Springer Spektrum
- Copyright Holder
- Springer Fachmedien Wiesbaden GmbH, part of Springer Nature
- eBook ISBN
- 978-3-658-25338-7
- DOI
- 10.1007/978-3-658-25338-7
- Softcover ISBN
- 978-3-658-25337-0
- Series ISSN
- 2625-3577
- Edition Number
- 1
- Number of Pages
- VIII, 154
- Number of Illustrations
- 1 b/w illustrations
- Topics
