On Type IIB moduli stabilization and N = 4, 8 supergravities

Abstract

We analyze D = 4 compactifications of Type IIB theory with generic, geometric and non-geometric, dual fluxes turned on. In particular, we study N = 1 toroidal orbifold compactifications that admit an embedding of the untwisted sector into gauged 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 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.

48 pages, 1 figure. References added. Published in NP B 849 (2011) pp. 80-111

References in corpus (21)

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• Flux Compactification
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• The maximal D=4 supergravities
• Gauged N=4 supergravities
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Cited by in corpus (42)

• Double Field Theory: A Pedagogical Review
• Double Field Theory and N=4 Gauged Supergravity
• Exploring Double Field Theory
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• The effective action of Double Field Theory
• Charting the landscape of N=4 flux compactifications
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• Non-geometric backgrounds in string theory
• The Odd story of ${\alpha }^{\prime }$-corrections
• The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies
• The Flux-Scaling Scenario: De Sitter Uplift and Axion Inflation
• How to halve maximal supergravity
• On new maximal supergravity and its BPS domain-walls
• Electric-magnetic deformations of D=4 gauged supergravities
• Exceptional Flux Compactifications
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• Generalized Dualities and Higher Derivatives
• Double Field Theory at SL(2) angles
• Two-field axion inflation and the swampland constraint in the flux-scaling scenario
• Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Dimensional oxidation and modular completion of non-geometric type IIB action
• Dictionary for the type II nongeometric flux compactifications
• Rigid nongeometric orientifolds and the swampland
• Implementing odd-axions in dimensional oxidation of non-geometric type IIB action
• Ten-dimensional origin of Minkowski vacua in $\mathcal{N}=8$ supergravity
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• A symplectic rearrangement of the four dimensional non-geometric scalar potential
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• On modular completion of generalized flux orbits
• Symplectic formulation of the type IIA nongeometric scalar potential
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• On stable type IIA de-Sitter vacua with geometric flux
• Massive Deformations of Type IIA Theory Within Double Field Theory
• Open-string T-duality and applications to non-geometric backgrounds
• On the limitations of non-geometric fluxes to realize dS vacua
• Taxonomy of scalar potential with U-dual fluxes
• Gauged Supergravities and the Physics of Extra Dimensions
• Duality phases and halved maximal D=4 supergravity
• Gaugings and other aspects in supergravity
• Half-maximal Extended Drinfel'd Algebras