Supergravity

by Freedman, Daniel Z.

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Title Statements

Full title :Supergravity / Daniel Z. Freedman and Antoine Van Proeyen.

Summary

"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. It 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 also invaluable to researchers"--

Edition Statements

Publication Date:2012.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2012.

The Physical Object

Description:1 online resource (xvii, 607 pages) : : illustrations

Edition Identifiers

ISBN:9781139379205, 1139379208, 9781139026833, 1139026836, 1280663774, 9781280663772, 9781139635608, 1139635603, 9781139376341, 1139376349
oclc:ocn794379485
LC Classification:QC174.17.S9
Dewey Decimal:530.14/23

Cover; Supergravity; Our conventions; Title; Copyright; Contents; Preface; Acknowledgements; Introduction; PART I: RELATIVISTIC FIELD THEORY INMINKOWSKI SPACETIME; 1: Scalar field theory and its symmetries; 1.1 The scalar field system; 1.2 Symmetries of the system; 1.2.1 SO(n) internal symmetry; 1.2.2 General internal symmetry; 1.2.3 Spacetime symmetries -- the Lorentz and Poincaré groups; 1.3 Noether currents and charges; 1.4 Symmetries in the canonical formalism; 1.5 Quantum operators; 1.6 The Lorentz group for D = 4; 2: The Dirac field; 2.1 The homomorphism of SL(2, C)? SO(3, 1).

2.2 The Dirac equation2.3 Dirac adjoint and bilinear form; 2.4 Dirac action; 2.5 The spinors u(p, s) and v(p, s) for D = 4; 2.6 Weyl spinor fields in even spacetime dimension; 2.7 Conserved currents; 2.7.1 Conserved U(1) current; 2.7.2 Energy-momentum tensors for the Dirac field; 3: Clifford algebras and spinors; 3.1 The Clifford algebra in general dimension; 3.1.1 The generating?-matrices; 3.1.2 The complete Clifford algebra; 3.1.3 Levi-Civita symbol; 3.1.4 Practical?-matrix manipulation; 3.1.5 Basis of the algebra for even dimension D = 2m; 3.1.6 The highest rank Clifford algebra element.

3.1.7 Odd…