000			01955nam a22002057a 4500
003			OSt
005			20240926154629.0
008			190225b ||||| |||| 00| 0 eng d
020			_a9781107163102
040			_cTata Book House _aICTS-TIFR
050			_aQC174.45
100			_aKevin Costello
245			_a Factorization algebras in quantum field theory
260			_aNew York: _bCambridge University Press, _c[c2017]
300			_a387 p
505			_a1 - 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 AND THEIR OBSERVABLES 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
520			_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. --- summary provided by publisher
700			_aOwen Gwilliam
942			_2lcc _cBK
999			_c2394 _d2394