New Mathematical Monographs #: Factorization Algebras in Quantum Field Theory: Volume 2

New Mathematical Monographs #: Factorization Algebras in Quantum Field Theory: Volume 2
Kevin Costello, Owen Gwilliam
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Hardback
Not defined - 380pg
30 Sep 2021 UK
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9781107163157
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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.

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Kevin Costello is Krembil William Rowan Hamilton Chair in Theoretical Physics at the Perimeter Institute for Theoretical Physics, Waterloo, Canada. He is an honorary member of the Royal Irish Academy and a Fellow of the Royal Society. He has won several awards, including the Berwick Prize of the London Mathematical Society (2017) and the Eisenbud Prize of the American Mathematical Society (2020). Owen Gwilliam is Assistant Professor in the Department of Mathematics and Statistics at the University of Massachusetts, Amherst.
Status: No local stock, title imported to order
ISBN-13: 9781107163157
Published: 30 Sep 2021
Published In: United Kingdom
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Format: Hardback
Pages: 380

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