Introductory Lectures on Extended Supergravities and Gaugings

Abstract

In an ungauged supergravity theory, the presence of a \emph{scalar potential} is allowed only for the minimal $\mathbb{N}=1$ case. In extended supergravities, a non-trivial scalar potential can be introduced without explicitly breaking supersymmetry only through the so-called \emph{gauging procedure}. The latter consists in promoting a suitable global symmetry group to local symmetry to be gauged by the vector fields of the theory. Gauged supergravities provide a valuable approach to the study of superstring flux-compactifications and the construction of phenomenologically viable, string-inspired models. The aim of these lectures is to give a pedagogical introduction to the subject of gauged supergravities, covering just selected issues and discussing some of their applications.

81 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1609.09745

References in corpus (13)

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• Double Field Theory
• Flux Compactification
• Generalised Geometry for M-Theory
• Lectures on Gauged Supergravity and Flux Compactifications
• The maximal D=4 supergravities
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Generalized complex geometry
• Charting the landscape of N=4 flux compactifications
• Symplectic Deformations of Gauged Maximal Supergravity
• Supergravities without an Action: Gauging the Trombone
• Thermodynamics of static dyonic AdS black holes in the $\omega$-deformed Kaluza-Klein gauged supergravity theory
• Dual Gauged Supergravities

Cited by in corpus (12)

• Supersymmetric solitons in gauged $\mathcal{N}=8$ supergravity
• New non-extremal and BPS hairy black holes in gauged $\mathcal{N}=2$ and $\mathcal{N}=8$ supergravity
• Constructing black hole solutions in supergravity theories
• Supersymmetric smooth distributions of M2-branes as AdS solitons
• All maximal gauged supergravities with uplift
• Exact holographic RG flows in extended SUGRA
• The geometry and DSZ quantization of four-dimensional supergravity
• Vacua of $\omega$-deformed SO(8) supergravity
• Black holes and general Freudenthal transformations
• Gapped gravitinos, isospin $\frac{1}{2}$ particles and $\mathcal{N}=2$ partial breaking
• Four-dimensional geometric supergravity and electromagnetic duality: a brief guide for mathematicians
• Instability of supersymmetric black holes via quantum phase transitions