Factorization Algebras in Quantum Field Theory: Volume 1

by Kevin Costello, Owen Gwilliam

Estimated delivery 3-12 business days

Format Hardcover

Condition Brand New

Description 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.

Publisher Description

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.

Author Biography

Kevin Costello is the Krembil Foundation William Rowan Hamilton Chair in Theoretical Physics at the Perimeter Institute in Waterloo, Ontario. Owen Gwilliam is a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn.

Details

  • ISBN 1107163102
  • ISBN-13 9781107163102
  • Title Factorization Algebras in Quantum Field Theory: Volume 1
  • Author Kevin Costello, Owen Gwilliam
  • Format Hardcover
  • Year 2016
  • Pages 398
  • Publisher Cambridge University Press
GE_Item_ID:101379413;

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