Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-04-16
JHEP 1009:100,2010
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, minor modifications, version published in JHEP
Scientific paper
10.1007/JHEP09(2010)100
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.
Howe P. S.
Papadopoulos George
Stojevic Vid
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