Factorization algebras in quantum field theory

By: Kevin CostelloContributor(s): Owen GwilliamMaterial type: TextTextPublication details: New York: Cambridge University Press, [c2017]Description: 387 pISBN: 9781107163102LOC classification: QC174.45
Contents:
1 - Introduction PART I - PREFACTORIZATION ALGEBRAS 2 - From Gaussian Measures to Factorization Algebras 3 - Prefactorization Algebras and Basic Examples PART II - FIRST EXAMPLES OF FIELD THEORIES AND THEIR OBSERVABLES 4 - Free Field Theories 5 - Holomorphic Field Theories and Vertex Algebras PART III - FACTORIZATION ALGEBRAS 6 - Factorization Algebras: Definitions and Constructions 7 - Formal Aspects of Factorization Algebras 8 - Factorization Algebras: Examples
Summary: Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which 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 first volume, the authors develop the theory of factorization algebras in depth, but with a focus upon examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory and a quantum group from Abelian Chern-Simons theory. Expositions of the relevant background in homological algebra, sheaves and functional analysis are also included, thus making this book ideal for researchers and graduates working at the interface between mathematics and physics. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Physics Rack No 4 QC174.45 (Browse shelf (Opens below)) Available Invoice no. IN00 7068 ; Date 21-02-2019 01731
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1 - Introduction

PART I - PREFACTORIZATION ALGEBRAS
2 - From Gaussian Measures to Factorization Algebras
3 - Prefactorization Algebras and Basic Examples

PART II - FIRST EXAMPLES OF FIELD THEORIES AND THEIR OBSERVABLES
4 - Free Field Theories
5 - Holomorphic Field Theories and Vertex Algebras

PART III - FACTORIZATION ALGEBRAS
6 - Factorization Algebras: Definitions and Constructions
7 - Formal Aspects of Factorization Algebras
8 - Factorization Algebras: Examples

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which 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 first volume, the authors develop the theory of factorization algebras in depth, but with a focus upon examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory and a quantum group from Abelian Chern-Simons theory. Expositions of the relevant background in homological algebra, sheaves and functional analysis are also included, thus making this book ideal for researchers and graduates working at the interface between mathematics and physics. --- summary provided by publisher

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