Generalized structures of N=1 vacua
High Energy Physics - Theory
2009-11-11 v3 Differential Geometry
Abstract
We characterize N=1 vacua of type II theories in terms of generalized complex structure on the internal manifold M. The structure group of T(M) + T*(M) being SU(3) x SU(3) implies the existence of two pure spinors Phi_1 and Phi_2. The conditions for preserving N=1 supersymmetry turn out to be simple generalizations of equations that have appeared in the context of N=2 and topological strings. They are (d + H wedge) Phi_1=0 and (d + H wedge) Phi_2 = F_RR. The equation for the first pure spinor implies that the internal space is a twisted generalized Calabi-Yau manifold of a hybrid complex-symplectic type, while the RR-fields serve as an integrability defect for the second.
Cite
@article{arxiv.hep-th/0505212,
title = {Generalized structures of N=1 vacua},
author = {Mariana Graña and Ruben Minasian and Michela Petrini and Alessandro Tomasiello},
journal= {arXiv preprint arXiv:hep-th/0505212},
year = {2009}
}
Comments
21 pages. v2, v3: minor changes and corrections