Supergravity: From First Principles to Modern Applications
Gianguido Dall’Agata and Marco Zagermann. Springer, Lecture Notes in Physics.
The book is an introduction to supergravity that treats the subject in a sufficiently deep but comprehensible manner.
We completely avoid technical machinery involving unphysical fields, auxiliary symmetries or other artificial objects. Instead, we work directly with the physical on-shell field content and use straightforward, explicit computations and simple geometrical reasoning to arrive at the results. Two major themes are the differences between supergravity and global supersymmetry, and the physical and mathematical consequences of these differences.
Throughout the book we use four-component rather than two-component spinors. This makes the text more accessible to phenomenologically oriented readers and is easily extended to other spacetime dimensions.
The book is suited for beginning graduate or advanced undergraduate students in high-energy or mathematical physics, as well as for researchers in these or related areas. It assumes familiarity with the basics of general relativity, differential geometry and global supersymmetry.
Misprints
Corrections collected since publication. If you find another one, please let me know by e-mail.
| Page | Printed | Correct |
|---|---|---|
| p. 181 |
\(\delta \widetilde{G}_{I\,\mu\nu} = - \delta {\cal I}_{IJ} F^J_{\mu\nu} + \delta {\cal R}_{IJ} \widetilde{F}^J_{\mu\nu} - {\cal I}_{IJ} \delta F_{\mu\nu}^J + {\cal R}_{IJ} \delta \widetilde{F}^J_{\mu\nu} + \delta {\cal O}_{I\,\mu\nu}\) | \(\delta \widetilde{G}_{I\,\mu\nu} = + \delta {\cal I}_{IJ} F^J_{\mu\nu} + \delta {\cal R}_{IJ} \widetilde{F}^J_{\mu\nu} + {\cal I}_{IJ} \delta F_{\mu\nu}^J + {\cal R}_{IJ} \delta \widetilde{F}^J_{\mu\nu} + \delta {\cal O}_{I\,\mu\nu}\) |
| p. 182 |
\(-\delta {\cal I}_{IJ}\) | \(+\delta {\cal I}_{IJ}\) |
| p. 182 |
\(- {\cal I}_{IJ}\) | \(+ {\cal I}_{IJ}\) |
| p. 240 | \(t_{sp} = \frac12\,(\sigma_1 \otimes \sigma_1-i\, \sigma_2 \otimes \sigma_3)\) | \(t_{sp} = \frac12\,(\sigma_1 \otimes {\mathbb 1}_2-i\, \sigma_2 \otimes \sigma_3)\) |
| p. 240 |
\(\exp\left[\frac{\pi}{4} (i\, \sigma_2 \otimes {\mathbb 1} + i \, \sigma_2 \otimes \sigma_3)\right]\) | \(\exp\left[\frac{\pi}{4} (i\, \sigma_2 \otimes {\mathbb 1} - i \, \sigma_2 \otimes \sigma_3)\right]\) |