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Factorization algebras in quantum fi...

Costello, Kevin, (1977-)

Factorization algebras in quantum field theory.Volume 1

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Factorization algebras in quantum field theory.Kevin Costello, Owen Gwilliam.
作者:	Costello, Kevin,
其他作者:	Gwilliam, Owen.
出版者:	Cambridge :Cambridge University Press,2017.
面頁冊數:	ix, 387 p. :ill., digital ;24 cm.
標題:	Quantum field theoryMathematics.
電子資源:	https://doi.org/10.1017/9781316678626
ISBN:	9781316678626$q(electronic bk.)

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 ;30..

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$q(electronic bk.)Subjects--Topical Terms:

208111
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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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 Factorization (Mathematics) $3 239606
650 0 $a Factors (Algebra) $3 515933
650 0 $a Geometric quantization. $3 230046
650 0 $a Noncommutative algebras. $3 347656
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