Gauged locally supersymmetric D=3 nonlinear sigma models

2003/07/01 by Bernard de Wit, Ivan Herger, Henning Samtleben · 129 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Nonlinear system #Philosophy #Physics #Quantum mechanics #Sigma #Sigma model #Spacetime #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2003.08.022

published in Nuclear Physics B 671, 175-216 (Elsevier BV) · LaTeX2e, 51 pages

arxiv created 2003/07/01 · openalex publication_date 2003/09/16 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model isometries, possibly augmented with R-symmetry transformations. This class of models is shown to include theories with standard Yang-Mills Lagrangians, with optional moment interactions and topological mass terms. The results constitute a general classification of three-dimensional gauged supergravities.

Citations

• Maximal Gauged Supergravity in Three Dimensions
• Chern–Simons vs. Yang–Mills gaugings in three dimensions
• Spectrum of D = 6, N = 4b supergravity on AdS3 × S3
• M-theory compactified on Calabi-Yau fourfolds with background flux
• On Lagrangians and gaugings of maximal supergravities
• Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory

Cited by

• Forms and algebras in (half-)maximal supergravity theories
• Off-shell supergravity-matter couplings in three dimensions
• WarpedAdS3,dS3, and flows fromN=(0,2)SCFTs
• Scale separation on AdS₃× S³ with and without supersymmetry