Factorization Algebras in Quantum Field Theory
Book Details
Format
Hardback or Cased Book
Book Series
New Mathematical Monographs
ISBN-10
1107163102
ISBN-13
9781107163102
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 15th, 2016
Print length
398 Pages
Weight
748 grams
Dimensions
15.90 x 23.50 x 3.30 cms
Ksh 26,300.00
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Ideal for researchers and graduates in mathematics and physics, this volume develops factorization algebras while highlighting examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory. This first volume also includes expositions of the relevant background in homological algebra, sheaves and functional analysis.
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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