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Factorization Algebras in Quantum Field Theory (Mixed media product)
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Factorization Algebras in Quantum Field Theory (Mixed media product)
Series: New Mathematical Monographs
Expected to ship within 12 - 17 working days
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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
the first volume of this set, the authors develop the theory of
factorization algebras in depth, 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. In the second volume,
they 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.
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