New Mathematical Monographs Factorization Algebras in Quantum Field Theory: Series Number 31

New Mathematical Monographs Factorization Algebras in Quantum Field Theory: Series Number 31

Costello, Kevin; Gwilliam, Owen

Cambridge University Press

12/2016

398

Dura

Inglês

9781107163102

15 a 20 dias

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.
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.
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