Gauged supergravities and their symmetry-breaking vacua in F-theory

Understand

We first derive a class of six-dimensional (1,0) gauged supergravities arising from threefold compactifications of F-theory with background fluxes.

• The derivation proceeds via the M-theory dual reduction on an SU(3)-structure manifold with four-form G_4-flux.
• We then show that vacuum solutions of these six-dimensional theories describes four-dimensional flat space times a compact two-dimensional internal space with additional localized sources.
• This induces a spontaneous compactification to four space-time dimensions and breaks the supersymmetry from N=2 to N=1, which allows the reduced theory to have a four-dimensional chiral spectrum.