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9789812381316

Geometric and Topological Methods for Quantum Field Theory

by ; ;
  • ISBN13:

    9789812381316

  • ISBN10:

    9812381317

  • Format: Hardcover
  • Copyright: 2003-06-01
  • Publisher: World Scientific Pub Co Inc
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Summary

This volume introduces some mathematical and physical tools and methods required to follow the recent developments, and provides insight in various active areas of mathematical physics, including duality, gauge field theory, conformal field theory, topological field theory, noncommutative geometry, and geometry of low-dimensional manifolds. It comprises seven self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants at the school and two appendices recalling some basic notions in differential geometry and quantum field theory.

Table of Contents

Lectures
Noncommutative Geometry
Hopf Algebras in Noncommutative Geometry
1(85)
Joseph C. Varilly
The Noncommutative Geometry of Aperiodic Solids
86(71)
Jean Bellissard
Noncommutative Geometry and Abstract Integration Theory
157(71)
Moulay-Tahar Benameur
Topological Field Theory
Introduction to Quantum Invariants of 3-Manifolds, Topological Quantum Field Theories and Modular Categories
228(37)
Christian Blanchet
An Introduction to Donaldson--Witten Theory
265(47)
Marcos Marino
Supergravity and String Theory
(Super)-Gravities Beyond 4 Dimensions
312(60)
Jorge Zanelli
Introductory Lectures on String Theory and the AdS/CFT Correspondence
372(63)
Ari Pankiewicz
Stefan Theisen
Short Communications
Group Contractions and its Consequences upon Representations of Different Spatial Symmetry Groups
435(15)
Mauricio Ayala-Sanchez
Richard W. Haase
Phase Anomalies as Trace Anomalies in Chern-Simons Theory
450(18)
Alexander Cardona
Deligne Cohomology for Orbifolds, Discrete Torsion and B-Fields
468
Ernesto Lupercio
Bernardo Uribe

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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