This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.
This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.
Kevin Costello is the Krembil Foundation William Rowan Hamilton Chair in Theoretical Physics at the Perimeter Institute in Waterloo, Ontario.
Inhaltsangabe
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.
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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