Factorization algebras in quantum field theory, Volume 2:
Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that 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...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2021
|
| Series: | New mathematical monographs
41 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that 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 second volume, the authors show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies. Along with a systematic reworking of the Batalin-Vilkovisky formalism via derived geometry and factorization algebras, this book offers concrete examples from physics, ranging from angular momentum and Virasoro symmetries to a five-dimensional gauge theory |
| Item Description: | Title from publisher's bibliographic system (viewed on 14 Sep 2021) From Gaussian measures to factorization algebras -- Prefactorization algebras and basic examples -- Free field theories -- Holomorphic field theories and vertex algebras -- Factorization algebras: definitions and constructions -- Formal aspects of factorization algebras -- Factorization algebras: examples |
| Physical Description: | 1 Online-Ressource (xiii, 402 Seiten) |
| ISBN: | 9781316678664 |
| DOI: | 10.1017/9781316678664 |
Staff View
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| institution | BVB |
| isbn | 9781316678664 |
| language | English |
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| physical | 1 Online-Ressource (xiii, 402 Seiten) |
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| spelling | Costello, Kevin 1977- (DE-588)1020383682 aut Factorization algebras in quantum field theory, Volume 2 Kevin Costello, Owen Gwilliam Cambridge Cambridge University Press 2021 1 Online-Ressource (xiii, 402 Seiten) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 41 Title from publisher's bibliographic system (viewed on 14 Sep 2021) From Gaussian measures to factorization algebras -- Prefactorization algebras and basic examples -- Free field theories -- Holomorphic field theories and vertex algebras -- Factorization algebras: definitions and constructions -- Formal aspects of factorization algebras -- Factorization algebras: examples Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that 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 second volume, the authors show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies. Along with a systematic reworking of the Batalin-Vilkovisky formalism via derived geometry and factorization algebras, this book offers concrete examples from physics, ranging from angular momentum and Virasoro symmetries to a five-dimensional gauge theory Quantum field theory / Mathematics Noncommutative algebras Geometric quantization Factors (Algebra) Factorization (Mathematics) Gwilliam, Owen (DE-588)1127755161 aut Erscheint auch als Druck-Ausgabe 978-1-107-16315-7 https://doi.org/10.1017/9781316678664 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Costello, Kevin 1977- Gwilliam, Owen Factorization algebras in quantum field theory, Volume 2 Quantum field theory / Mathematics Noncommutative algebras Geometric quantization Factors (Algebra) Factorization (Mathematics) |
| title | Factorization algebras in quantum field theory, Volume 2 |
| title_auth | Factorization algebras in quantum field theory, Volume 2 |
| title_exact_search | Factorization algebras in quantum field theory, Volume 2 |
| title_exact_search_txtP | Factorization algebras in quantum field theory, Volume 2 |
| title_full | Factorization algebras in quantum field theory, Volume 2 Kevin Costello, Owen Gwilliam |
| title_fullStr | Factorization algebras in quantum field theory, Volume 2 Kevin Costello, Owen Gwilliam |
| title_full_unstemmed | Factorization algebras in quantum field theory, Volume 2 Kevin Costello, Owen Gwilliam |
| title_short | Factorization algebras in quantum field theory, Volume 2 |
| title_sort | factorization algebras in quantum field theory volume 2 |
| topic | Quantum field theory / Mathematics Noncommutative algebras Geometric quantization Factors (Algebra) Factorization (Mathematics) |
| topic_facet | Quantum field theory / Mathematics Noncommutative algebras Geometric quantization Factors (Algebra) Factorization (Mathematics) |
| url | https://doi.org/10.1017/9781316678664 |
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