General Type IIB Fluxes with SU(3) Structures
Abstract
A supersymmetric vacuum has to obey a set of constraints on fluxes as well as first order differential equations defined by the G-structures of the internal manifold. We solve these equations for type IIB supergravity with SU(3) structures. The 6-dimensional internal manifold has to be complex, the axion/dilaton is in general non-holomorphic and a cosmological constant is only possible if the SU(3) structures are broken to SU(2) structures. The general solution is expressed in terms of one function which is holomorphic in the three complex coordinates and if this holomorphic function is constant, we obtain a flow-type solution and near poles and zeros we find the so-called type-A and type-B vacuum.
Cite
@article{arxiv.hep-th/0502154,
title = {General Type IIB Fluxes with SU(3) Structures},
author = {Klaus Behrndt and Mirjam Cvetic and Peng Gao},
journal= {arXiv preprint arXiv:hep-th/0502154},
year = {2009}
}
Comments
29 pages, minor corrections, version published in NPB