Conformal Groups in Geometry and Spin Structures
Conformal Groups in Geometry and Spin Structures

Author: Pierre Anglès

Publisher: Springer Science & Business Media

Published: 2007-10-16

Total Pages: 307

ISBN-13: 0817646434

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This book provides a self-contained overview of the role of conformal groups in geometry and mathematical physics. It features a careful development of the material, from the basics of Clifford algebras to more advanced topics. Each chapter covers a specific aspect of conformal groups and conformal spin geometry. All major concepts are introduced and followed by detailed descriptions and definitions, and a comprehensive bibliography and index round out the work. Rich in exercises that are accompanied by full proofs and many hints, the book will be ideal as a course text or self-study volume for senior undergraduates and graduate students.

Conformal Groups in Geometry and Spin Structures
Conformal Groups in Geometry and Spin Structures

Author: Pierre Anglès

Publisher: Birkhäuser

Published: 2008-11-01

Total Pages: 0

ISBN-13: 9780817670443

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This book provides a self-contained overview of the role of conformal groups in geometry and mathematical physics. It features a careful development of the material, from the basics of Clifford algebras to more advanced topics. Each chapter covers a specific aspect of conformal groups and conformal spin geometry. All major concepts are introduced and followed by detailed descriptions and definitions, and a comprehensive bibliography and index round out the work. Rich in exercises that are accompanied by full proofs and many hints, the book will be ideal as a course text or self-study volume for senior undergraduates and graduate students.

Conformal Differential Geometry
Conformal Differential Geometry

Author: Helga Baum

Publisher: Springer Science & Business Media

Published: 2010-01-14

Total Pages: 161

ISBN-13: 3764399082

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Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of such operators are the Yamabe-, the Paneitz-, the Dirac- and the twistor operator. The aim of the seminar was to present the basic ideas and some of the recent developments around Q-curvature and conformal holonomy. The part on Q-curvature discusses its origin, its relevance in geometry, spectral theory and physics. Here the influence of ideas which have their origin in the AdS/CFT-correspondence becomes visible. The part on conformal holonomy describes recent classification results, its relation to Einstein metrics and to conformal Killing spinors, and related special geometries.

Quantum Field Theory Conformal Group Theory Conformal Field Theory
Quantum Field Theory Conformal Group Theory Conformal Field Theory

Author: R. Mirman

Publisher: iUniverse

Published: 2005-02

Total Pages: 313

ISBN-13: 0595336922

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The conformal group is the invariance group of geometry (which is not understood), the largest one. Physical applications are implied, as discussed, including reasons for interactions. The group structure as well as those of related groups are analyzed. An inhomogeneous group is a subgroup of a homogeneous one because of nonlinearities of the realization. Conservation of baryons (protons can't decay) is explained and proven. Reasons for various realizations, so matrix elements, of the Lorentz group given. The clearly relevant mass level formula is compared with experimental values. Questions, implications and possibilities, including for differential equations, are raised.

Spinors In Physics And Geometry
Spinors In Physics And Geometry

Author: Giuseppe Furlan

Publisher: World Scientific

Published: 1988-11-01

Total Pages: 368

ISBN-13: 9814644447

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This conference brought together physicists and mathematicians working on spinors, which have played an important role in recent research on supersymmetry, Kaluza-Klein theories, twistors and general relativity.

Conformal Differential Geometry
Conformal Differential Geometry

Author: Helga Baum

Publisher: Springer Science & Business Media

Published: 2011-01-28

Total Pages: 161

ISBN-13: 3764399090

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Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of such operators are the Yamabe-, the Paneitz-, the Dirac- and the twistor operator. The aim of the seminar was to present the basic ideas and some of the recent developments around Q-curvature and conformal holonomy. The part on Q-curvature discusses its origin, its relevance in geometry, spectral theory and physics. Here the influence of ideas which have their origin in the AdS/CFT-correspondence becomes visible. The part on conformal holonomy describes recent classification results, its relation to Einstein metrics and to conformal Killing spinors, and related special geometries.

Handbook of Pseudo-Riemannian Geometry and Supersymmetry
Handbook of Pseudo-Riemannian Geometry and Supersymmetry

Author: Vicente Cortés

Publisher: European Mathematical Society

Published: 2010

Total Pages: 972

ISBN-13: 9783037190791

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The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: Special geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy theory Symmetric spaces and spaces of constant curvature Conformal geometry Wave equations on Lorentzian manifolds D-branes and K-theory The intended audience consists of advanced students and researchers working in differential geometry, string theory, and related areas. The emphasis is on geometrical structures occurring on target spaces of supersymmetric field theories. Some of these structures can be fully described in the classical framework of pseudo-Riemannian geometry. Others lead to new concepts relating various fields of research, such as special Kahler geometry or generalized geometry.