General Type IIB Fluxes with SU(3) Structures

Details General Type IIB Fluxes with SU(3) Structures General Type IIB Fluxes with SU(3) Structures

2005-02-17

arxiv.org/abs/hep-th/0502154v3

Nucl.Phys.B721:287-308,2005

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, minor corrections, version published in NPB

Scientific paper

10.1016/j.nuclphysb.2005.05.020

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.

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