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Factorization Algebras in Quantum Field Theory: Volume 1 by Kevin Costello (Engl
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eBay item number:386109072643
Item specifics
- Condition
- ISBN-13
- 9781107163102
- Book Title
- Factorization Algebras in Quantum Field Theory: Volume 1
- ISBN
- 9781107163102
- Publication Name
- Factorization Algebras in Quantum Field Theory: Volume 1
- Item Length
- 9in
- Publisher
- Cambridge University Press
- Publication Year
- 2016
- Series
- New Mathematical Monographs
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1in
- Item Width
- 6in
- Item Weight
- 26.5 Oz
- Number of Pages
- 398 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
1107163102
ISBN-13
9781107163102
eBay Product ID (ePID)
227659044
Product Key Features
Publication Name
Factorization Algebras in Quantum Field Theory: Volume 1
Format
Hardcover
Language
English
Publication Year
2016
Series
New Mathematical Monographs
Type
Textbook
Number of Pages
398 Pages
Dimensions
Item Length
9in
Item Height
1in
Item Width
6in
Item Weight
26.5 Oz
Additional Product Features
Series Volume Number
Series Number 31
Lc Classification Number
Qc174.17.F3
Reviews
'Because the subject of this book touches many advanced leading theories of quantum physics which utilize heavily mathematical machineries from a diverse range of mathematical topics, the background material needed for this book is immense. So it is very helpful and much appreciated that a 103-page four-section appendix is included in this 387-page book, to provide a very well-organized and fairly detailed review of relevant mathematical background topics, including simplicial techniques, colored operads/multicategories and their algebras, differential graded (dg) Lie algebras and their cohomology, sheaves/cosheaves, formal Hodge theory, and 'convenient, differentiable, or bornological' topological vector spaces facilitating the homological algebra for infinite-dimensional vector spaces.' Albert Sheu, Zentralblatt MATH
Table of Content
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.
Copyright Date
2016
Target Audience
Scholarly & Professional
Topic
Physics / Quantum Theory, Topology
Lccn
2016-047832
Dewey Decimal
530.14/30151272
Dewey Edition
23
Illustrated
Yes
Genre
Science, Mathematics
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eBay item number:386109072643
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