Freedman D., van Proeyen A. Supergravity

Cambridge University Press, 2012. — 607 p.Supergravity, together with string theory, is one of the most significant developments in theoretical physics. Although there are many books on string theory, this is the first-ever authoritative and systematic account of supergravity. Written by two of the most respected workers in the field, it provides a solid introduction to the fundamentals 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. The second half of the book is more advanced: complex geometry and N = 1 and N = 2 supergravity theories are covered. Classical solutions and a chapter on anti-de Sitter/conformal field theory (AdS/CFT) correspondence complete the text. Numerous exercises and examples make it ideal for Ph.D. students, and with applications to model building, cosmology, and solutions of supergravity theories, this text is an invaluable resource for researchers.Introduction
Relativistic field theory in Minkowski spacetime
Differential geometry and gravity
Basic supergravity
Complex geometry and global SUSY
Superconformal construction of supergravity theories
N=1 supergravity actions and applications
Extended N=2 supergravity
Classical solutions and the AdS/CFT correspondence
Appendix A. Comparison of notations
Appendix B. Lie algebras and superalgebras