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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, Owen Gwilliam.
Author:	Costello, Kevin,
other author:	Gwilliam, Owen.
Published:	Cambridge :Cambridge University Press, : 2017.,
Description:	ix, 387 p. :ill., digital ; : 24 cm.;
Subject:	Quantum field theory - Mathematics. -
Online resource:	https://doi.org/10.1017/9781316678626
ISBN:	9781316678626

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

Factorization algebras in quantum field theory.Volume 1[electronic resource] /Kevin Costello, Owen Gwilliam. - Cambridge :Cambridge University Press,2017. - ix, 387 p. :ill., digital ;24 cm. - New mathematical monographs ;31. - New mathematical monographs ;31..

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: 9781316678626Subjects--Topical Terms:

796731
Quantum field theory
--Mathematics.

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

Dewey Class. No.: 530.1430151272

Factorization algebras in quantum field theory.. Volume 1
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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
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