The asymptotic charges of the Curtright dual graviton in D=5 split into scalar, vector, and TT sectors that close into an abelian extension of a BMS-like algebra when the vector parameter is restricted to o(4).
Exceptional Field Theory II: E$_{7(7)}$
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
We introduce exceptional field theory for the group E_{7(7)}, based on a (4+56)-dimensional spacetime subject to a covariant section condition. The `internal' generalized diffeomorphisms of the coordinates in the fundamental representation of E_{7(7)} are governed by a covariant `E-bracket', which is gauged by 56 vector fields. We construct the complete and unique set of field equations that is gauge invariant under generalized diffeomorphisms in the internal and external coordinates. Among them feature the non-abelian twisted self-duality equations for the 56 gauge vectors. We discuss the explicit solutions of the section condition describing the embedding of the full, untruncated 11-dimensional and type IIB supergravity, respectively. As a new feature compared to the previously constructed E_{6(6)} formulation, some components among the 56 gauge vectors descend from the 11-dimensional dual graviton but nevertheless allow for a consistent coupling by virtue of a covariantly constrained compensating 2-form gauge field.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 4verdicts
UNVERDICTED 4roles
background 1polarities
background 1representative citing papers
Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.
Defines non-associative superalgebra on Kac-Moody modules to generalize vector fields and Lie derivatives, reproducing extended geometry.
G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.
citing papers explorer
-
The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra
The asymptotic charges of the Curtright dual graviton in D=5 split into scalar, vector, and TT sectors that close into an abelian extension of a BMS-like algebra when the vector parameter is restricted to o(4).
-
Maximal trombone supergravity from wrapped M5-branes
Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.
-
Non-associative structures in extended geometry
Defines non-associative superalgebra on Kac-Moody modules to generalize vector fields and Lie derivatives, reproducing extended geometry.
-
Consistent Truncations from Duality Symmetries and Desingularization of Orbifold Uplifts
G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.