Gauged Supergravities, Tensor Hierarchies, and M-Theory

Abstract

Deformations of maximal supergravity theories induced by gauging non-abelian subgroups of the duality group reveal the presence of charged M-theory degrees of freedom that are not necessarily contained in supergravity. The relation with M-theory degrees of freedom is confirmed by the representation assignments under the duality group of the gauge charges and the ensuing vector and tensor gauge fields. The underlying hierarchy of these gauge fields is required for consistency of general gaugings. As an example gauged maximal supergravity in three space-time dimensions is presented in a version where all possible tensor fields appear.

32 pages; minor text changes and a few additional references

References in corpus (10)

• The maximal D=4 supergravities
• Gauged N=4 supergravities
• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• Flux Compactifications of M-Theory on Twisted Tori
• An E9 multiplet of BPS states
• Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin
• Gauging hidden symmetries in two dimensions
• Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes
• Lagrangians with electric and magnetic charges of N=2 supersymmetric gauge theories

Cited by in corpus (99)

• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• Exceptional Field Theory III: E${}_{8(8)}$
• Exceptional Field Theory II: E${}_{7(7)}$
• Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions
• Gauged Supergravities
• Consistent Type IIB Reductions to Maximal 5D Supergravity
• Supergravities without an Action: Gauging the Trombone
• Gauge theory of Kaluza-Klein and winding modes
• Half-maximal supersymmetry from exceptional field theory
• Gauge Theories, Duality Relations and the Tensor Hierarchy
• Systematics of consistent truncations from generalised geometry
• The Gaugings of Maximal D=6 Supergravity
• Branes and wrapping rules
• The tensor hierarchy algebra
• U-duality covariant gravity
• The Embedding Tensor, Leibniz-Loday Algebras, and Their Higher Gauge Theories
• Non-linear parent action and dual gravity
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• Electric and magnetic charges in N=2 conformal supergravity theories
• Brane orbits
• Extended geometries
• Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets
• E${}_9$ exceptional field theory I. The potential
• Dual doubled geometry
• Tensor hierarchies and Leibniz algebras
• A master exceptional field theory
• Towards an M5-Brane Model I: A 6d Superconformal Field Theory
• On supersymmetric E11 exceptional field theory
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• Supersymmetric Domain Walls
• E${}_9$ exceptional field theory II. The complete dynamics
• On the Hidden Maxwell Superalgebra underlying D=4 Supergravity
• Reducing democratic type II supergravity on SU(3) x SU(3) structures
• On the Magical Supergravities in Six Dimensions
• The complete $D=11$ embedding of SO(8) supergravity
• Hidden Q-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
• Leibniz Gauge Theories and Infinity Structures
• Global Properties of the Conformal Manifold for S-Fold Backgrounds
• Conformal invariance from non-conformal gravity
• On the E10/Massive Type IIA Supergravity Correspondence
• Local E(11)
• Black hole chemistry, the cosmological constant and the embedding tensor
• Electric/magnetic duality for chiral gauge theories with anomaly cancellation
• Leibniz-Chern-Simons Theory and Phases of Exceptional Field Theory
• The supersymmetric tensor hierarchy of N=1,d=4 supergravity
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Tensor Hierarchies of 5- and 6-Dimensional Field Theories
• D=4, N=2 Gauged Supergravity coupled to Vector-Tensor Multiplets
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• E${}_{7(7)}$ Exceptional Field Theory in Superspace
• Towards an M5-Brane Model II: Metric String Structures
• Embedding the SU(3) sector of SO(8) supergravity in $D=11$
• A Note on E11 and Three-dimensional Gauged Supergravity
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Higher Gauge Structures in Double and Exceptional Field Theory
• Can (Electric-Magnetic) Duality Be Gauged?
• N=1 Non-Abelian Tensor Multiplet in Four Dimensions
• Non-abelian Gerbes and Enhanced Leibniz Algebras
• E10 and Gauged Maximal Supergravity
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• The geometry of $\mathcal{N}=3$ AdS${}_4$ in massive IIA
• Chern-Simons Actions and Their Gaugings in 4D, N=1 Superspace
• Infinity-enhancing of Leibniz algebras
• Exceptional algebroids and type IIB superstrings
• Minimal $D=4$ truncations of type IIA
• Actions for Non-Abelian Twisted Self-Duality
• Leibniz-Yang-Mills Gauge Theories and the 2-Higgs Mechanism
• Can dual gravity be reconciled with E11?
• Halving ISO(7) supergravity
• The Third Way to Interacting $p$-form Theories
• The higher-dimensional origin of five-dimensional $\mathcal{N}=2$ gauged supergravities
• Maximal D=2 supergravities from higher dimensions
• Oxidizing Borcherds symmetries
• The dual graviton in duality covariant theories
• Exact holographic RG flows in extended SUGRA
• Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• The tensor hierarchy of 8-dimensional field theories
• All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
• Higher Gauge Theory
• Extended geometry of magical supergravities
• From Lie algebra crossed modules to tensor hierarchies
• Extended Jackiw-Pi Model and Its Supersymmetrization
• Self-dual non-Abelian N = 1 tensor multiplet in D = 2+ 2 dimensions
• Maximal Nine Dimensional Supergravity, General gaugings and the Embedding Tensor
• Notophs of N = 8 supergravity
• Space-filling branes & gaugings
• A Review of Third Way Consistent Theories
• Gravity with torsion in non-conservative Maxwell-like gauge approach
• Unfolding $E_{11}$
• The emergence of fermions and the E11 content
• Exotic potentials and Bianchi identities in SL(5) exceptional field theory
• On the role of torsion and higher forms in off-shell supergravity
• N-Extended Lorentzian Kac-Moody algebras
• Symplectic gaugings and the field-antifield formalism
• Non-Abelian Electric-Magnetic Duality with Supersymmetry in 4D and 10D
• The canonical formulation of E${}_{6(6)}$ exceptional field theory
• Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras
• Kac-Moody algebras and the cosmological constant