Charles Strickland-Constable

Supergravity as generalised geometry I: type II theories

A bstractWe reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an O(9, 1) × O(1, 9) ⊂ O(10, 10) ×

{E_d}_{(d)}\times {{\mathbb{R}}^{+}} generalised geometry, connections and M theory

{\mathbb{R}^{+} }

Supergravity as generalised geometry II: E d(d) × ℝ+ and M theory

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 Spin(9, 1) × Spin(1, 9)-covariant form. The same formalism also describes d-dimensional compactifications to flat space.

Generalised geometry and type II supergravity

We show that generalised geometry gives a unified description of bosonic eleven-dimensional supergravity restricted to a d-dimensional manifold for all d ≤ 7. The theory is based on an extended tangent space which admits a natural

Exceptional generalised geometry for massive IIA and consistent reductions

{E_d}_{(d)}\times {{\mathbb{R}}^{+}}

Supersymmetric backgrounds and generalised special holonomy

action. The bosonic degrees of freedom are unified as a “generalised metric”, as are the diffeomorphism and gauge symmetries, while the local O(d) symmetry is promoted to Hd, the maximally compact subgroup of Ed(d). We introduce the analogue of the Levi-Civita connection and the Ricci tensor and show that the bosonic action and equations of motion are simply given by the generalised Ricci scalar and the vanishing of the generalised Ricci tensor respectively. The formalism also gives a unified description of the bosonic NSNS and RR sectors of type II supergravity in d − 1 dimensions. Locally the formulation also describes M-theory variants of double field theory and we derive the corresponding section condition in general dimension. We comment on the relation to other approaches to M theory with Ed(d) symmetry, as well as the connections to flux compactifications and the embedding tensor formalism.

Ectoplasm with an edge

A bstractWe 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 ≤ 7. The reformulation has an Ed(d) × ℝ+ structure group and it has a local

Generalised structures for \( \mathcal{N}=1 \) AdS backgrounds

{{\widetilde{H}}_d}

Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy

symmetry, where

Supersymmetric flux backgrounds and generalised special holonomy

{{\widetilde{H}}_d}