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200 10$aFactorization algebras in quantum field theory$hVolume 1 /$fKevin Costello, Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Owen Gwilliam, Max Planck Institute for Mathematics, Bonn$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2017.
215   $a1 online resource (ix, 387 pages) $cdigital, PDF file(s)
225 1 $aNew mathematical monographs ;$v31
300   $aTitle from publisher's bibliographic system (viewed on 31 Jan 2017).
311   $a1-107-16310-2 
311   $a1-316-75139-2 
320   $aIncludes bibliographical references and index.
327   $aFrom 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.
330   $aFactorization algebras are local-to-global objects that play a role in classical and quantum field theory which is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and conformal blocks. In this first volume, the authors develop the theory of factorization algebras in depth, but with a focus upon examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory and a quantum group from Abelian Chern-Simons theory. Expositions of the relevant background in homological algebra, sheaves and functional analysis are also included, thus making this book ideal for researchers and graduates working at the interface between mathematics and physics.
410  0$aNew mathematical monographs ;$v31.
606   $aQuantum field theory$xMathematics
606   $aFactorization (Mathematics)
606   $aFactors (Algebra)
606   $aGeometric quantization
606   $aNoncommutative algebras
615  0$aQuantum field theory$xMathematics.
615  0$aFactorization (Mathematics)
615  0$aFactors (Algebra)
615  0$aGeometric quantization.
615  0$aNoncommutative algebras.
676   $a530.14/30151272
700   $aCostello$b Kevin$f1977-$0511474
702   $aGwilliam$b Owen
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910158982303321
996   $aFactorization algebras in quantum field theory$92584034
997   $aUNINA