Nontrivial RR two-form field strength and SU(3)-structure

Details Nontrivial RR two-form field strength and SU(3)-structure Nontrivial RR two-form field strength and SU(3)-structure

2003-01-10

arxiv.org/abs/hep-th/0301063v1

Fortsch.Phys. 51 (2003) 764-768

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 8 pages, talk given at the 35th Symposium Ahrenshoop, enlarged version of the contribution to the proceedings

Scientific paper

10.1002/prop.200310095

We discuss how in the presence of a nontrivial RR two-form field strength and nontrivial dilaton the conditions of preserving supersymmetry on six-dimensional manifolds lead to generalized monopole and Killing spinor equations. We show that the manifold is K\"ahler in the ten-dimensional string frame if F_0^{(1,1)}=0. We then determine explicitly the intrinsic torsion of the SU(3)-structure on six-manifolds that result via Kaluza-Klein reduction from seven-manifolds with G_2-structure of generic intrinsic torsion. Lastly we give explicitly the intrinsic torsion of the SU(3)-structure for an N=1 supersymmetric background in the presence of nontrivial RR two-form field strength and nontrivial dilaton.

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