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Nov 28

A comprehensive introduction to two-dimensional conformal field theory is given. Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. transformations that preserve angles but not lengths. • If applied in this context, perhaps can shed light on The structure of the meromorphic subtheory is described in detail, and a number of examples are presented explicitly. Fields of a quantum field theory are local fields of massless particles (though this in nowhere clearly stated); thus their spectrum is the light cone, which is invariant under the infinitesimal symmetries of the conformal Lie algebra (which figures prominently). A conformal field theory (CFT) is a quantum field theory also recognized as a statistical mechanics model at the critical point, that is invariant under conformal transformations i.e. The canonical reference for learning conformal field theory is the excellent review by Ginsparg. A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations.In two dimensions, there is an infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified.. Conformal field theory has important applications to string theory, statistical mechanics, and condensed matter … Guillaume Remy A probabilistic approach to Liouville conformal field theory Liouville conformal field theory is an important example of a CFT with a continuous spectrum. B241 (1984). The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, … Conformal Field Theory A.N. B271 (1986). It was first introduced in the context of string theory by A. Polyakov in 1981 in order to understand the summation over all Riemannian metric tensors in two dimensions. Phys. Field Theory”, Nucl. Standard constructions such as the coset and the orbifold construction are explained. The application to string theory was explained by Friedan, Martinec and Shenker in “Conformal Invariance, Supersymmetry and String Theory”, Nucl. They are intended as an introduction to conformal field theories in various dimensions, with applications related to topics of particular interest: topics include the conformal bootstrap program, boundary conformal field theory, and applications related to the AdS/CFT correspondence. Phys. This is the reason for calling the subject conformal field theory. Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. Schellekens [Word cloud by www.worldle.net] Last modi ed 16 Januari 2017 1 • In a theory with a large gap in operator dimensions, the conformal block expansion is “unreasonably effective.” • This has been applied in other contexts (eg 2d CFT) to derive universal gravity-like behavior directly from CFT.

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