2007/02/12 by Martin Weidner, M. Weidner · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Embedding #Gauge theory #Gauged supergravity #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Spacetime #String theory #Supergravity #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1002/prop.200710390
published as Fortsch.Phys.55:843-945,2007 · 155 pages, author's PhD thesis
arxiv created 2007/02/12 · openalex publication_date 2007/05/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract In this review article we study the gaugings of extended supergravity theories in various space‐time dimensions. These theories describe the low‐energy limit of non‐trivial string compactifications. For each theory under consideration we review all possible gaugings that are compatible with supersymmetry. They are parameterized by the so‐called embedding tensor which is a group theoretical object that has to satisfy certain representation constraints. This embedding tensor determines all couplings in the gauged theory that are necessary to preserve gauge invariance and supersymmetry. The concept of the embedding tensor and the general structure of the gauged supergravities are explained in detail. The methods are then applied to the half‐maximal ( N = 4) supergravities in d = 4 and d = 5 and to the maximal supergravities in d = 2 and d = 7. Examples of particular gaugings are given. Whenever possible, the higher‐dimensional origin of these theories is identified and it is shown how the compactification parameters like fluxes and torsion are contained in the embedding tensor.