Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-06-24
JHEP 0209 (2002) 033
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 13 pages
Scientific paper
10.1088/1126-6708/2002/09/033
We show how in the presence of RR two-form field strength the conditions for preserving supersymmetry on six- and seven-dimensional manifolds lead to certain generalizations of monopole equations. For six dimensions the string frame metric is Kaehler with the complex structure that descends from the octonions if in addition we assume F^{(1,1)}=0. The susy generator is a gauge covariantly constant spinor. For seven dimensions the string frame metric is conformal to a G_2 metric if in addition we assume the field strength to obey a selfduality constraint. Solutions to these equations lift to geometries of G_2 and Spin(7) holonomy respectively.
Kaste Peter
Minasian Ruben
Petrini Michela
Tomasiello Alessandro
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