Factorization Algebras in Quantum Field Theory: Volume 2

Kevin Costello, Owen Gwilliam

• Publisher: Cambridge University Press
• Year: 2021
• Print ISBN: 9781107163157
• eBook ISBN: 9781316730188
• Topic: Mathématiques
• Subtopic: Topologie

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and conformal blocks. In this second volume, the authors show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies. Along with a systematic reworking of the Batalin–Vilkovisky formalism via derived geometry and factorization algebras, this book offers concrete examples from physics, ranging from angular momentum and Virasoro symmetries to a five-dimensional gauge theory.

Table of contents

• Cover
• Half-title
• Series information
• Title page
• Copyright information
• Dedication
• Contents
• Contents of Volume 1
• 1 Introduction and Overview
• Part I Classical Field Theory
• Part II Quantum Field Theory
• Part III A Factorization Enhancementof the Noether Theorem
• Appendix A Background
• Appendix B Functions on Spaces of Sections
• Appendix C A Formal Darboux Lemma
• References
• Index