Twistor Geometry and Field Theory

R. S. Ward; Raymond O. Wells, Jr

doi:10.1017/CBO9780511524493

This book deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, algebraic topology and results in a new perspective on the properties of space and time. The authors firstly develop the mathematical background, then go on to discuss Yang-Mills fields and gravitational fields in classical language, and in the final part a number of field-theoretic problems are solved. Issued here for the first time in paperback, this self-contained volume should be of use to graduate mathematicians and physicists and research workers in theoretical physics, relativity, and cosmology.

"... skillfully written. It will serve as a relatively accessible introduction to twistor theory for many readers who have not studied the subject before. Others will find it useful as a refresher and as a source of many valuable insights." Nature

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-viii
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Preface
pp ix-x
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Introduction
pp 1-4
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Part I - Geometry
pp 5-6
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1 - The Klein correspondence
pp 7-67
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2 - Fiber bundles
pp 68-147
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3 - The algebraic topology of manifolds and bundles
pp 148-238
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Part II - Classical field theory
pp 239-240
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4 - Linear field theories
pp 241-262
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5 - Gauge theory
pp 263-285
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6 - General relativity
pp 286-298
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Part III - The Penrose transform
pp 299-300
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7 - Massless free fields
pp 301-370
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8 - Self-dual gauge fields
pp 371-432
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9 - Twistors for self-dual space-time
pp 433-458
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10 - The Penrose transform for general gauge fields
pp 459-484
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References
pp 485-503
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Subject and author index
pp 504-520
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Twistor Geometry and Field Theory

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

Preface
pp ix-x

Introduction
pp 1-4

Part I - Geometry
pp 5-6

1 - The Klein correspondence
pp 7-67

2 - Fiber bundles
pp 68-147

3 - The algebraic topology of manifolds and bundles
pp 148-238

Part II - Classical field theory
pp 239-240

4 - Linear field theories
pp 241-262

5 - Gauge theory
pp 263-285

6 - General relativity
pp 286-298

Part III - The Penrose transform
pp 299-300

7 - Massless free fields
pp 301-370

8 - Self-dual gauge fields
pp 371-432

9 - Twistors for self-dual space-time
pp 433-458

10 - The Penrose transform for general gauge fields
pp 459-484

References
pp 485-503

Subject and author index
pp 504-520

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Twistor Geometry and Field Theory

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