Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.
Supergravity as Generalised Geometry II: $E_{d(d)} \times \mathbb{R}^+$ and M theory
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abstract
We reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski space with a $d$-dimensional manifold $M$ with $d\leq7$. The reformation has a $E_{d(d)} \times \mathbb{R}^+$ structure group and is has a local $\tilde{H}_d$ symmetry, where $\tilde{H}_d$ is the double cover of the maximally compact subgroup of $E_{d(d)}$. The bosonic degrees for freedom unify into a generalised metric, and, defining the generalised analogue $D$ of the Levi-Civita connection, one finds that the corresponding equations of motion are the vanishing of the generalised Ricci tensor. To leading order, we show that the fermionic equations of motion, action and supersymmetry variations can all be written in terms of $D$. Although we will not give the detailed decompositions, this reformulation is equally applicable to type IIA or IIB supergravity restricted to a $(d-1)$-dimensional manifold. For completeness we give explicit expressions in terms of $\tilde{H}_4=\mathit{Spin}(5)$ and $\tilde{H}_7=\mathit{SU}(8)$ representations for $d=4$ and $d=7$.
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New family of maximal 4D gauged supergravities with trombone gauging admits supersymmetric AdS vacua related to M5-branes and provides sufficient conditions for consistent subtruncations from groups not contained in the N=8 gauge group.
Introduces a generalised Cartan geometry framework governed by differential graded Lie algebras that constructs connections, torsion and curvature for generic generalised geometries and reviews their realisation on M-theory brane phase space.
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
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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.
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Consistent subsectors of maximal supergravity and wrapped M5-branes
New family of maximal 4D gauged supergravities with trombone gauging admits supersymmetric AdS vacua related to M5-branes and provides sufficient conditions for consistent subtruncations from groups not contained in the N=8 gauge group.
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Generalised Cartan Geometry
Introduces a generalised Cartan geometry framework governed by differential graded Lie algebras that constructs connections, torsion and curvature for generic generalised geometries and reviews their realisation on M-theory brane phase space.
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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.