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Factorization Algebras in Quantum Field Theory

Factorization Algebras in Quantum Field Theory - New Mathematical Monographs

Paperback (29 Feb 2024)

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Publisher's Synopsis

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that 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 the first volume of this set, the authors develop the theory of factorization algebras in depth, 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. In the second volume, they show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies.

About the Publisher

Cambridge University Press

Cambridge University Press dates from 1534 and is part of the University of Cambridge. We further the University's mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.

Book information

ISBN: 9781009006163
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 512.923
DEWEY edition: 23
Language: English
Number of pages: 774
Weight: 1442g
Height: 162mm
Width: 240mm
Spine width: 56mm