Factorization algebras in quantum field theory
Author(s)
Bibliographic Information
Factorization algebras in quantum field theory
（New mathematical monographs, 31）
Cambridge University Press, 2017
- v. 1 : hardback
Available at / 10 libraries
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Yukawa Institute for Theoretical Physics, Kyoto University基物研
v. 1 : hardbackE2||COS||1200038744115
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Note
Includes bibliographical references (p. 377-382) and index
Description and Table of Contents
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.
Table of Contents
- 1. Introduction
- Part I. Prefactorization Algebras: 2. From Gaussian measures to factorization algebras
- 3. Prefactorization algebras and basic examples
- Part II. First Examples of Field Theories: 4. Free field theories
- 5. Holomorphic field theories and vertex algebras
- Part III. Factorization Algebras: 6. Factorization algebras - definitions and constructions
- 7. Formal aspects of factorization algebras
- 8. Factorization algebras - examples
- Appendix A. Background
- Appendix B. Functional analysis
- Appendix C. Homological algebra in differentiable vector spaces
- Appendix D. The Atiyah-Bott Lemma
- References
- Index.
by "Nielsen BookData"