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Chern-Simons Theory and Equivariant Factorization Algebras (BestMasters) - Softcover

Buch 68 von 91: BestMasters

Keller, Corina

 
9783658253370: Chern-Simons Theory and Equivariant Factorization Algebras (BestMasters)
Softcover
ISBN 10: 3658253371 ISBN 13: 9783658253370
Verlag: Springer Spektrum, 2019

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer Spektrum
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
3658253371
ISBN 13 
9783658253370
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
164
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