Nontrivial RR two-form field strength and SU(3)-structure
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0301063,
title = {Nontrivial RR two-form field strength and SU(3)-structure},
author = {Peter Kaste and Ruben Minasian and Michela Petrini and Alessandro Tomasiello},
journal= {arXiv preprint arXiv:hep-th/0301063},
year = {2009}
}
Comments
LaTeX, 8 pages, talk given at the 35th Symposium Ahrenshoop, enlarged version of the contribution to the proceedings