The first-ever authoritative and systematic introduction to the fundamentals of supergravity, written by two leaders in the field. Written by two of the most respected workers in the field, this is the first-ever authoritative and systematic account of supergravity. It provides a thorough introduction to thefundamentals of supergravity and with numerous exercises, examples and its range of applications, it is ideal for both Ph.D. students and researchers. Written by two of the most respected workers in the field, this is the first-ever authoritative and systematic account of supergravity. It provides a thorough introduction to the fundamentals of supergravity and with numerous exercises, examples and its range of applications, it is ideal for both Ph.D. students andresearchers. Supergravity, together with string theory, is one of the most significant developments in theoretical physics. Written by two of the most respected workers in the field, this is the first-ever authoritative and systematic account of supergravity. The book starts by reviewing aspects of relativistic field theory in Minkowski spacetime. After introducing the relevant ingredients of differential geometry and gravity, some basic supergravity theories (D=4 and D=11) and the main gauge theory tools are explained. In the second half of the book, complex geometry and N=1 and N=2 supergravity theories are covered. Classical solutions and a chapter on AdS/CFT complete the book. Numerous exercises and examples make it ideal for Ph.D. students, and with applications to model building, cosmology and solutions of supergravity theories, it is alsoinvaluable to researchers. A website hosted by the authors, featuring solutions to some exercises and additional reading material, can be found at www.Cambridge.org/supergravity. Advance praise: 'Over the last four decades, the theory of supergravity has emerged as a central ingredient in the search for the still-elusive unified theory of nature, and has led to many deep results in mathematical physics. This comprehensive, accessible text, written by the pioneersof the subject, fills a gap in the literature and will play an essential rolein our future efforts to understand nature.' Andrew Strominger, Harvard University 'Freedman and Van Proeyen's Supergravity is a much-needed introduction to the union of general relativity with supersymmetry, written by two of the leaders in the field. The presentation is clear, well planned, and thorough. It begins with the necessary background in field theory and geometry, and runs through recent applications to AdS/CFT duality.' Joseph Polchinski, University of California, Santa Barbara 'Finally there is an up-to-date textbook availablethat introduces supergravity to present and future generations of students. The authors take great care to explain the basic concepts of supersymmetry and supergravity in a pedagogical way, starting from standard notions in field theory and general relativity. Highly recommended.' Bernard de Wit, Utrecht University 'Supergravity is a keystone of modern theoretical physics, connecting Einstein's gravity, superstring theory, and proposed extensions of the Standard Model of particle physics. It is also a subject known for its forbidding technical difficulties. In this book, Freedman and Van Proeyen decode the structureof supergravity. Beginning from lucid explanations of the basic geometrical and gauge symmetries, they show how to build up supergravity theories systematically in four and in higher dimensions.' Michael E. Peskin, Stanford University 'Supergravity by D. Freedman and A. Van Proeyen is the most complete and most concise textbook on the basic mathematical formalism of supergravity, its solutions and applications for the AdS/CFT correspondence on the market. This book will become an indispensable tool for every student and researcher who wants to learn and to work with this beautiful subject.' Dieter Lüst, Ludwig-Maximilians-University Munich and the Max Planck Institute for Physics 'This book is an excellent introduction to the rich and many-faceted topic of supergravity. Students will find it to be thorough and detailed and all around an outstanding book to learn from. More senior researchers will find it to be a very valuable resource.' Edward Witten, The Institute for Advanced Study, Princeton INDICE: Part I. Relativistic Field Theory in Minkowski Spacetime: 1. Scalar field theory and its symmetries; 2. The Dirac field; 3. Clifford algebras and spinors; 4. The Maxwell and Yang-Mills gauge fields; 5. The free Rarita-Schwinger field; 6. N=1 global supersymmetry in D=4; Part II. Differential Geometry and Gravity: 7. Differential geometry; 8. The first and second order formulations of general relativity; Part III. Basic Supergravity: 9. N=1 pure supergravity in 4 dimensions; 10. D=11 supergravity; 11. General gauge theory; 12. Survey of supergravities; Part IV. Complex Geometry and Global SUSY: 13. Complexmanifolds; 14. General actions with N=1 supersymmetry; Part V. SuperconformalConstruction of Supergravity Theories: 15. Gravity as a conformal gauge theory; 16. The conformal approach to N=1 supergravity; 17. Construction of the matter-coupled N=1 supergravity; Part VI. N=1 Supergravity Actions and Applications: 18. The physical N=1 matter-coupled supergravity; 19. Applications of N=1 supergravity; Part VII. Extended N=2 Supergravity: 20. Construction of the matter-coupled N=2 supergravity; 21. The physical N=2 matter-coupled supergravity; Part VIII. Classical Solutions and the AdS/CFT Correspondence: 22. Classicalsolutions of gravity and supergravity; 23. The AdS/CFT correspondence; Appendix; Index.
- ISBN: 978-0-521-19401-3
- Editorial: Cambridge University
- Encuadernacion: Cartoné
- Páginas: 626
- Fecha Publicación: 05/04/2012
- Nº Volúmenes: 1
- Idioma: Inglés