Algebras and non-geometric flux vacua
arXiv:0809.3748 · doi:10.1088/1126-6708/2008/12/050
Abstract
In this work we classify the subalgebras satisfied by non-geometric Q-fluxes in type IIB orientifolds on T^6/(Z_2 x Z_2) with three moduli (S,T,U). We find that there are five subalgebras compatible with the symmetries, each one leading to a characteristic flux-induced superpotential. Working in the 4-dimensional effective supergravity we obtain families of supersymmetric AdS_4 vacua with all moduli stabilized at small string coupling g_s. Our results are mostly analytic thanks to a judicious parametrization of the non-geometric, RR and NSNS fluxes. We are also able to leave the flux-induced C_4 and C_8 RR tadpoles as free variables, thereby enabling us to study which values are allowed for each Q-subalgebra. Another novel outcome is the appearance of multiple vacua for special sets of fluxes. However, they generically have g_s > 1 unless the net number of O3/D3 or O7/D7 sources needed to cancel the tadpoles is large. We also discuss briefly the issues of axionic shift symmetries and cancellation of Freed-Witten anomalies.
61 pages, LaTex, v2: added references
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- Decoupling and de Sitter Vacua in Approximate No-Scale Supergravities
- Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
- On stable type IIA de-Sitter vacua with geometric flux
- A second look at gauged supergravities from fluxes in M-theory
- Seeking de-Sitter Vacua in the String Landscape
- Taxonomy of scalar potential with U-dual fluxes
- Gauged Supergravities and the Physics of Extra Dimensions
- Symplectic formulation of the type IIB scalar potential with U-dual fluxes
- Reading-off the non-geometric scalar potentials with U-dual fluxes
- Systematic exploration of the non-geometric flux landscape
- On Formulating the Non-Geometric Scalar Potentials