Abstract
Supergravity is a supersymmetric theory of gravity based on the principles of general relativity. In this subsection we set up our notation and review some elementary material on general relativity with particular emphasis on those aspects that are relevant for the formulation of supergravity theories.
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Notes
- 1.
The torsion tensor, T, maps two vector fields, V , W, to another vector field defined by T(V, W) = ∇V W −∇W V − [V, W], implying \(T_{\mu \nu }{ }^{\rho }= \varGamma _{\mu \nu }^{\rho }-\varGamma _{\nu \mu }^{\rho } \).
- 2.
The difference between the “old” Planck mass value \(M_P^{old} = 1.22 \cdot 10^{19} GeV\) and the reduced Planck mass (3.9) used in supergravity computations should be kept in mind when quantitative predictions are required.
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Dall’Agata, G., Zagermann, M. (2021). Gravity and Spinors. In: Supergravity. Lecture Notes in Physics, vol 991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-63980-1_3
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DOI: https://doi.org/10.1007/978-3-662-63980-1_3
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