This systematic approach to the Wess-Zumino-Witten-Novikov model is based on complex analytical geometry, working from the author's recent construction of modular functors from conformal field theory. Ueno begins by describing Riemann spaces and stable curves, including compact Riemann surfaces and pointed curves, then moves to affine Lie algebras and integrable highest weight representations, with an explanation of the energy-momentum tensor, Uechi then moves to conformal blocks and correlation functions, the sheaf of conformal blocks associated with a family of pointed Reimann surfaces with coordinates, the sheaf's support of projectively flat connections, one of the most important facts of conformal field theory. Uechi closes with a study of the detailed structure of the conformal field theory. Uechi supplies all the necessary techniques and results used to construct the modular factor. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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Hardback. Zustand: New. This book presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. After presenting the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras in Chapters 1 and 2, conformal blocks for pointed Riemann surfaces with coordinates are constructed in Chapter 3. In Chapter 4 the sheaf of conformal blocks associated to a family of pointed Riemann surfaces with coordinates is constructed, and in Chapter 5 it is shown that this sheaf supports a projective flat connection-one of the most important facts of conformal field theory. Chapter 6 is devoted to the study of the detailed structure of the conformal field theory over $\mathbb{P}1$. Recently it was shown that modular functors can be constructed from conformal field theory, giving an interesting relationship between algebraic geometry and topological quantum field theory.This book provides a timely introduction to an intensively studied topic of conformal field theory with gauge symmetry by a leading algebraic geometer, and includes all the necessary techniques and results that are used to construct the modular functor. Bestandsnummer des Verkäufers LU-9780821840887
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Zustand: New. Presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. This book also presents the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras. Series: Fields Institute Monographs. Num Pages: 168 pages, Illustrations. BIC Classification: PBF; PBMW; PBW; PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 481. . 2008. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821840887
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Zustand: New. Presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. This book also presents the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras. Series: Fields Institute Monographs. Num Pages: 168 pages, Illustrations. BIC Classification: PBF; PBMW; PBW; PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 481. . 2008. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821840887
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