Generalised Geometry and type II Supergravity

TL;DR

This paper reformulates ten-dimensional type II supergravity using generalised geometry, expressing its action, equations, and supersymmetry variations in a covariant form based on an $O(9,1) imes O(1,9)$ structure, simplifying the theoretical framework.

Contribution

It introduces a novel geometric reformulation of type II supergravity as a generalised geometry, unifying the action, equations, and supersymmetry variations in a covariant manner.

Findings

Reformulation of supergravity equations in generalised geometric terms

Manifest $Spin(9,1) imes Spin(1,9)$ covariance achieved

Simplified representation of supergravity structures

Abstract

Ten-dimensional type II supergravity can be reformulated 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. To leading order in the fermion fields, this allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly $Spin(9,1)\times Spin(1,9)$-covariant form.