Supergravities without an Action: Gauging the Trombone

Abstract

We present a systematic account of supergravity theories in which the global scaling symmetry is gauged. This generalizes the standard gaugings of non-abelian off-shell symmetries. A particular feature of these theories is an additional positive contribution to the effective cosmological constant. As the scaling symmetry is an on-shell symmetry, the resulting gaugings do no longer possess an action. We develop the algebraic framework for the maximal theories in various dimensions and construct explicit solutions to the algebraic consistency constraints - related to `pure-spinor-like' structures for the exceptional groups. As an example, we explicitly work out the modified supersymmetry transformation rules and equations of motion in three dimensions. Finally, we speculate about the role of these theories from the perspective of very extended Kac-Moody algebras.

40 pages; v2: refs added, minor corrections, version to be published in NPB

References in corpus (35)

• E_11 and M Theory
• E10 and a "small tension expansion" of M Theory
• Dualisation of Dualities, I
• On Lagrangians and Gaugings of Maximal Supergravities
• Maximal gauged supergravity in three dimensions
• A field-theory motivated approach to symbolic computer algebra
• Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
• The maximal D=4 supergravities
• Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
• Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
• The E_{11} origin of all maximal supergravities
• Gauged N=4 supergravities
• Gauged Supergravities, Tensor Hierarchies, and M-Theory
• The maximal D=5 supergravities
• Fibre Bundles and Generalised Dimensional Reduction
• Magnetic charges in local field theory
• E(11) and the Embedding Tensor
• Introducing Cadabra: a symbolic computer algebra system for field theory problems
• Conformal and Quasiconformal Realizations of Exceptional Lie Groups
• The maximal D=7 supergravities
• Stable de Sitter Vacua from N=2 Supergravity
• (Non-)Abelian Gauged Supergravities in Nine Dimensions
• A New Massive Type IIA Supergravity From Compactification
• The Gaugings of Maximal D=6 Supergravity
• Spectrum-generating Symmetries for BPS Solitons
• Non-BPS D8-branes and Dynamic Domain Walls in Massive IIA Supergravities
• Non-linear parent action and dual gravity
• Potential and mass-matrix in gauged N=4 supergravity
• Gauging hidden symmetries in two dimensions
• Zero-Branes, Quantum Mechanics and the Cosmological Constant
• de Sitter space from M-theory?
• New D=6, N=(1,1) Gauged Supergravity with Supersymmetric (Minkowski)_4 X S^2 Vacuum
• A Note on E11 and Three-dimensional Gauged Supergravity
• Variant N=(1,1) Supergravity and (Minkowski)_4 x S^2 Vacua
• Solutions to the Massive HLW IIA Supergravity

Cited by in corpus (58)

• Double Field Theory: A Pedagogical Review
• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Duality orbits of non-geometric fluxes
• Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions
• Extended geometry and gauged maximal supergravity
• Gauged Supergravities
• All G_2 invariant critical points of maximal supergravity
• Half-maximal supersymmetry from exceptional field theory
• The exceptional story of massive IIA supergravity
• Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions
• Exceptional generalised geometry for massive IIA and consistent reductions
• Flux Compactifications, Gauge Algebras and De Sitter
• Generalised Scherk-Schwarz reductions from gauged supergravity
• N=8 Supergravity with Local Scaling Symmetry
• How to halve maximal supergravity
• Generalized IIB supergravity from exceptional field theory
• Generalised diffeomorphisms for E${}_9$
• E${}_{6(6)}$ Exceptional Drinfel'd Algebras
• E${}_{6(6)}$ Exceptional Field Theory: Review and Embedding of Type IIB
• Dualising consistent IIA / IIB truncations
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Double Field Theory at SL(2) angles
• O(d+1,d+1) enhanced double field theory
• Exploring Exceptional Drinfeld Geometries
• Polyvector deformations in eleven-dimensional supergravity
• On the E10/Massive Type IIA Supergravity Correspondence
• S-folds and (non-)supersymmetric Janus solutions
• On the exceptional generalised Lie derivative for $d\ge 7$
• E${}_{7(7)}$ Exceptional Field Theory in Superspace
• Forms and algebras in (half-)maximal supergravity theories
• Introductory Lectures on Extended Supergravities and Gaugings
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Non-abelian U-duality at work
• E10 and Gauged Maximal Supergravity
• Exceptional Reductions
• Supermembrane origin of type II gauged supergravities in 9D
• Consistent Kaluza-Klein truncations and two-dimensional gauged supergravity
• All maximal gauged supergravities with uplift
• The higher-dimensional origin of five-dimensional $\mathcal{N}=2$ gauged supergravities
• Local E(11) and the gauging of the trombone symmetry
• Maximal D=2 supergravities from higher dimensions
• A geometric formulation of exceptional field theory
• Jacobi-Lie T-plurality
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• U-dualities in Type II string theories and M-theory
• Geometry of ${\mathbb{R}}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory
• Gauged Supergravities and the Physics of Extra Dimensions
• A Review of Third Way Consistent Theories
• Extended Drinfel'd algebras and non-Abelian duality
• The very-extended trombone
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Dualising consistent truncations
• Flux Backgrounds and Exceptional Generalised Geometry
• On global aspects of duality invariant theories: M2-brane vs DFT
• Half-maximal Extended Drinfel'd Algebras
• Exotic Aspects of Extended Field Theories
• Gaugings and other aspects in supergravity