Gauged locally supersymmetric D=3 nonlinear sigma models

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.

LaTeX2e, 51 pages

References in corpus (7)

• On Lagrangians and Gaugings of Maximal Supergravities
• Chern-Simons vs. Yang-Mills gaugings in three dimensions
• Calabi-Yau Fourfolds with Flux and Supersymmetry Breaking
• Non-semisimple and Complex Gaugings of N=16 Supergravity
• Yang-Mills-Chern-Simons Supergravity
• Vacua of Maximal Gauged D=3 Supergravities
• Mapping the vacuum structure of gauged maximal supergravities: an application of high-performance symbolic algebra

Cited by in corpus (91)

• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• Lectures on Gauged Supergravity and Flux Compactifications
• Off-shell supergravity-matter couplings in three dimensions
• Bulk Dynamics in Confining Gauge Theories
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Gauge Theories, Duality Relations and the Tensor Hierarchy
• Multiple M2-branes and the Embedding Tensor
• Multiple Membranes from Gauged Supergravity
• Three-dimensional (p,q) AdS superspaces and matter couplings
• 3D supergravity from wrapped M5-branes
• 3D Supergravity from wrapped D3-branes
• Calabi-Yau Fourfolds with Flux and Supersymmetry Breaking
• U-duality covariant gravity
• Non-linear parent action and dual gravity
• Generalised geometry from the ground up
• Gravitational Instantons and Fluxes from M/F-theory on Calabi-Yau fourfolds
• Kaluza-Klein supergravity on AdS_3 x S^3
• Cosmological backgrounds of superstring theory and Solvable Algebras: Oxidation and Branes
• Gauging hidden symmetries in two dimensions
• Supergravity dual of c-extremization
• 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications
• Counting RG flows
• The tensor hierarchy simplified
• Fivebrane instantons and Calabi-Yau fourfolds with flux
• Twin Supergravities
• On the Magical Supergravities in Six Dimensions
• Gauged Supergravities in Various Spacetime Dimensions
• Non-semisimple and Complex Gaugings of N=16 Supergravity
• Consistent $S^3$ reductions of six-dimensional supergravity
• O(d+1,d+1) enhanced double field theory
• Higher Derivative Supergravities in Diverse Dimensions
• M-theory on Spin(7) Manifolds, Fluxes and 3D, N=1 Supergravity
• IIA supergravity and M-theory on manifolds with SU(4) structure
• 5D Black Holes and Non-linear Sigma Models
• A supersymmetric reduction on the three-sphere
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• Non-Supersymmetric F-Theory Compactifications on Spin(7) Manifolds
• Supergravity-matter actions in three dimensions and Chern-Simons terms
• Betti multiplets, flows across dimensions and c-extremization
• $\mathcal{N}=(8,0)$ AdS vacua of three-dimensional supergravity
• Half-maximal supergravity in three dimensions: supergeometry, differential forms and algebraic structure
• Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua
• Superconformal Sigma Models in Three Dimensions
• Forms and algebras in (half-)maximal supergravity theories
• Supergravity and M-Theory
• AdS${}_3$ vacua and RG flows in three dimensional gauged supergravities
• A Note on E11 and Three-dimensional Gauged Supergravity
• A Topologically Massive Gauge Theory with 32 Supercharges
• Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$
• Spontaneous N=2 -> N=1 Supergravity Breaking in Three Dimensions
• Maximally Supersymmetric AdS Solutions and their Moduli Spaces
• Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions
• Domain walls in three dimensional gauged supergravity
• On the infinite-dimensional spin-2 symmetries in Kaluza-Klein theories
• On non-linear action of multiple M2-branes
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• Janus solutions in three-dimensional N=8 gauged supergravity
• Vacua and RG flows in N=9 three dimensional gauged supergravity
• Janus and RG-flow interfaces in three-dimensional gauged supergravity
• The higher-dimensional origin of five-dimensional $\mathcal{N}=2$ gauged supergravities
• SU(N) membrane $B\wedge F$ theory with dual-pairs
• Janus and RG interfaces in three-dimensional gauged supergravity II: General $\alpha$
• All timelike supersymmetric solutions of three-dimensional half-maximal supergravity
• Frame-like off-shell dualisation for mixed-symmetry gauge fields
• Gauged diffeomorphisms and hidden symmetries in Kaluza-Klein theories
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• Vacua of N=10 three dimensional gauged supergravity
• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
• Flux Compactification of M-theory on Compact Manifolds with Spin(7) Holonomy
• AdS/CFT and the Little Hierarchy Problem
• More on the scalar-tensor B-F theory
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Comments on Higher Order BLG Supersymmetry Transformations
• 3d N=1 effective supergravity and F-theory from M-theory on fourfolds
• Massive Kaluza-Klein Theories and their Spontaneously Broken Symmetries
• Deformations of large N=(4,4) 2D SCFT from 3D gauged supergravity
• Reviving 3D $\mathcal{N}=8$ superconformal field theories
• 3D N=6 Gauged Supergravity: Admissible Gauge Groups, Vacua and RG Flows
• A note on the third way consistent deformation of Yang-Mills theory
• Gaugings of N=4 three dimensional gauged supergravity with exceptional coset manifolds
• Aspects of Supersymmetry in Multiple Membrane Theories
• Two dimensional RG flows and Yang-Mills instantons
• Multiple M-branes and 3-algebras
• New N=5,6, 3D gauged supergravities and holography
• Higher Derivative BLG: Lagrangian and Supersymmetry Transformations
• Non-semisimple gauging of a magical N=4 supergravity in three dimensions
• Holographic RG flows in N=4 SCFTs from half-maximal gauged supergravity
• Higher Order BLG Supersymmetry Transformations from 10-Dimensional Super Yang Mills