Covariantly constant forms on torsionful geometries from world-sheet and spacetime perspectives

TY - JOUR

T1 - Covariantly constant forms on torsionful geometries from world-sheet and spacetime perspectives

AU - Howe, P. S.

AU - Papadopoulos, G.

AU - Stojevic, V.

PY - 2010

Y1 - 2010

N2 - The symmetries of two-dimensional supersymmetric sigma models on target spaces with covariantly constant forms associated to special holonomy groups are analysed. It is shown that each pair of such forms gives rise to a new one, called a Nijenhuis form, and that there may be further reductions of the structure group. In many cases of interest there are also covariantly constant one-forms which also give rise to symmetries. These geometries are of interest in the context of heterotic supergravity solutions and the associated reductions are studied from a spacetime point of view via the Killing spinor equations.

AB - The symmetries of two-dimensional supersymmetric sigma models on target spaces with covariantly constant forms associated to special holonomy groups are analysed. It is shown that each pair of such forms gives rise to a new one, called a Nijenhuis form, and that there may be further reductions of the structure group. In many cases of interest there are also covariantly constant one-forms which also give rise to symmetries. These geometries are of interest in the context of heterotic supergravity solutions and the associated reductions are studied from a spacetime point of view via the Killing spinor equations.

M3 - Article

SN - 1029-8479

VL - 2010

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - 100

ER -