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Factorization algebras in quantum field theory.. Volume 1 /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Factorization algebras in quantum field theory./ Kevin Costello, Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Owen Gwilliam, Max Planck Institute for Mathematics, Bonn.
Author:	Costello, Kevin,
other author:	Gwilliam, Owen,
Description:	1 online resource (ix, 387 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 31 Jan 2017).
Subject:	Quantum field theory - Mathematics. -
Online resource:	https://doi.org/10.1017/9781316678626
ISBN:	9781316678626 (ebook)

Factorization algebras in quantum field theory.. Volume 1 /
Costello, Kevin,1977-

Factorization algebras in quantum field theory.Volume 1 /Kevin Costello, Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Owen Gwilliam, Max Planck Institute for Mathematics, Bonn. - 1 online resource (ix, 387 pages) :digital, PDF file(s). - New mathematical monographs ;31. - New mathematical monographs ;31..

Title from publisher's bibliographic system (viewed on 31 Jan 2017).

From Gaussian measures to factorization algebras -- Prefactorization algebras and basic examples -- Free field theories -- Holomorphic field theories and vertex algebras -- Factorization algebras: definitions and constructions -- Formal aspects of factorization algebras -- 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.

ISBN: 9781316678626 (ebook)Subjects--Topical Terms:

796731
Quantum field theory
--Mathematics.

LC Class. No.: QC174.45 / C68 2017

Dewey Class. No.: 530.14/30151272

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505 0 $a From Gaussian measures to factorization algebras -- Prefactorization algebras and basic examples -- Free field theories -- Holomorphic field theories and vertex algebras -- Factorization algebras: definitions and constructions -- Formal aspects of factorization algebras -- Factorization algebras: examples.
520 $a 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.
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650 0 $a Factors (Algebra) $3 787421
650 0 $a Geometric quantization. $3 883012
650 0 $a Noncommutative algebras. $3 783142
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830 0 $a New mathematical monographs ; $v 31. $3 1238333
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