Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.
Supergravity as Generalised Geometry I: Type II Theories
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. Using the notion of generalised connection and torsion, we introduce the analogue of the Levi-Civita connection, and derive the corresponding tensorial measures of generalised curvature. We show how, to leading order in the fermion fields, these structures allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly $\mathit{Spin}(9,1)\times\mathit{Spin}(1,9)$-covariant form.
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Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.
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.
The generalised Lie derivative of (s)pinor fields on Courant algebroids is constructed via a natural connection on the space of generalised metrics, yielding the formula L_u ψ = D_u ψ + (1/2)(D_u a^b)γ_{ab}ψ.
A particle worldline in E8 exceptional field theory is made gauge-invariant by adding a coadjoint-orbit "duality charge", and the same Hamiltonian framework organizes exotic zero-brane dynamics such as the 0^(1,7) brane.
Defines higher Courant-Dorfman algebras and higher Poisson vertex algebras, relates them to dg symplectic manifolds of degree n, proves analogous properties to classical versions, and applies the framework to BFV current algebras.
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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Generalised Complex and Spinor Relations
Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.
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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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On the generalised Lie derivative of (s)pinor fields
The generalised Lie derivative of (s)pinor fields on Courant algebroids is constructed via a natural connection on the space of generalised metrics, yielding the formula L_u ψ = D_u ψ + (1/2)(D_u a^b)γ_{ab}ψ.
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Duality-covariant particles and exotic branes
A particle worldline in E8 exceptional field theory is made gauge-invariant by adding a coadjoint-orbit "duality charge", and the same Hamiltonian framework organizes exotic zero-brane dynamics such as the 0^(1,7) brane.
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Higher Courant-Dorfman algebras and associated higher Poisson vertex algebras
Defines higher Courant-Dorfman algebras and higher Poisson vertex algebras, relates them to dg symplectic manifolds of degree n, proves analogous properties to classical versions, and applies the framework to BFV current algebras.
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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.