Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity

Abstract

The double field theory action in the flux formulation is dimensionally reduced on a Calabi-Yau three-fold equipped with non-vanishing type IIB geometric and non-geometric fluxes. First, we rewrite the metric-dependent reduced DFT action in terms of quantities that can be evaluated without explicitly knowing the metric on the Calabi-Yau manifold. Second, using properties of special geometry we obtain the scalar potential of N=2 gauged supergravity. After an orientifold projection, this potential is consistent with the scalar potential arising from the flux-induced superpotential, plus an additional D-term contribution.

44 pages; v2: minor changes, references added; v3: published version, more detailed discussion in section 2.3, reference added

References in corpus (17)

• Double Field Theory
• Flux Compactification
• Gauged Double Field Theory
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Physics of String Flux Compactifications
• Charting the landscape of N=4 flux compactifications
• D terms from D-branes, gauge invariance and moduli stabilization in flux compactifications
• Lectures on Nongeometric Flux Compactifications
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Double Field Theory on Group Manifolds
• Generalized Metric Formulation of Double Field Theory on Group Manifolds
• D-Terms from Generalized NS-NS Fluxes in Type II
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• Low Energy Supersymmetry from Non-Geometry
• Implementing odd-axions in dimensional oxidation of non-geometric type IIB action

Cited by in corpus (22)

• Gauged Supergravities
• Exceptional field theory: $SL(5)$
• Exceptional field theory: $SO(5,5)$
• The Odd story of ${\alpha }^{\prime }$-corrections
• Tachyons in Classical de Sitter Vacua
• The Flux-Scaling Scenario: De Sitter Uplift and Axion Inflation
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Systematics of type IIB moduli stabilisation with odd axions
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Dictionary for the type II nongeometric flux compactifications
• Rigid nongeometric orientifolds and the swampland
• $T$-dualizing the de-Sitter no-go scenarios
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• Symplectic formulation of the type IIA nongeometric scalar potential
• Seeking de-Sitter Vacua in the String Landscape
• Partial SUSY Breaking for Asymmetric Gepner Models and Non-geometric Flux Vacua
• Taxonomy of scalar potential with U-dual fluxes
• Symplectic formulation of the type IIB scalar potential with U-dual fluxes
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$
• On Formulating the Non-Geometric Scalar Potentials
• Systematic exploration of the non-geometric flux landscape