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
SN - 1029-8479
VL - 2011
JO - Journal of High Energy Physics (JHEP)
JF - Journal of High Energy Physics (JHEP)
IS - 11
M1 - 91
ER -