TY - JOUR

T1 - Supergravity as Generalised Geometry I

T2 - Type II Theories

AU - Coimbra, André

AU - Strickland-Constable, Charles

AU - Waldram, Daniel

N1 - © SISSA, Trieste, Italy 2011.

PY - 2011/11/18

Y1 - 2011/11/18

N2 - 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.

AB - 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.

KW - hep-th

KW - math.DG

U2 - 10.1007/JHEP11(2011)091

DO - 10.1007/JHEP11(2011)091

M3 - Article

VL - 2011

JO - JHEP

JF - JHEP

IS - 11

M1 - 91

ER -