On type IIB moduli stabilization and \({\mathcal N}=4,8\) supergravities. (English) Zbl 1215.83051
Summary: We analyze \(D=4\) compactifications of Type IIB theory with generic, geometric and non-geometric, dual fluxes turned on. In particular, we study \({\mathcal N}=1\) toroidal orbifold compactifications that admit an embedding of the untwisted sector into gauged \({\mathcal N}=4,8\) supergravities. Truncations, spontaneous breaking of supersymmetry and the inclusion of sources are discussed. The algebraic identities satisfied by the supergravity gaugings are used to implement the full set of consistency constraints on the background fluxes. This allows to perform a generic study of \({\mathcal N}=1\) vacua and identify large regions of the parameter space that do not admit complete moduli stabilization. Illustrative examples of AdS and Minkowski vacua are presented.
MSC:
| 83E50 | Supergravity |
| 57R18 | Topology and geometry of orbifolds |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81R40 | Symmetry breaking in quantum theory |
| 58D27 | Moduli problems for differential geometric structures |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
Keywords:
flux compactifications of Type IIBReferences:
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