Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes

Abstract

We analyse the 4-dimensional effective supergravity theories obtained from the Scherk--Schwarz reduction of M-theory on twisted 7-tori in the presence of 4-form fluxes. We implement the appropriate orbifold projection that preserves a G2-structure on the internal 7-manifold and truncates the effective field theory to an N=1, D=4 supergravity. We provide a detailed account of the effective supergravity with explicit expressions for the Kaehler potential and the superpotential in terms of the fluxes and of the geometrical data of the internal manifold. Subsequently, we explore the landscape of vacua of M-theory compactifications on twisted tori, where we emphasize the role of geometric fluxes and discuss the validity of the bottom-up approach. Finally, by reducing along isometries of the internal 7-manifold, we obtain superpotentials for the corresponding type IIA backgrounds.

43 pages, Latex; v3 typos corrected, one reference added, JHEP version

References in corpus (18)

• Type IIA Moduli Stabilization
• Generalized structures of N=1 vacua
• The effective action of Type IIA Calabi-Yau orientifolds
• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold
• N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
• Hitchin Functionals in N=2 Supergravity
• A Moduli Fixing Mechanism in M theory
• Effective action of (massive) IIA on manifolds with SU(3) structure
• Statistics of M theory Vacua
• Gauged supergravity algebras from twisted tori compactifications with fluxes
• Fixing All Moduli for M-Theory on K3xK3
• The Scherk-Schwarz mechanism as a flux compactification with internal torsion
• M-theory Compactifications on Manifolds with G2 Structure
• On types of non-integrable geometries
• Compactifications on twisted tori with fluxes and free differential algebras
• E_{7(7)} symmetry and dual gauge algebra of M-theory on a twisted seven-torus
• Curvatures and potential of M-theory in D=4 with fluxes and twist
• Flux and Freund-Rubin Superpotentials in M-theory

Cited by in corpus (62)

• A scan for new N=1 vacua on twisted tori
• Lectures on Gauged Supergravity and Flux Compactifications
• More Dual Fluxes and Moduli Fixing
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Gauged Supergravities
• RR photons
• Exploiting N=2 in consistent coset reductions of type IIA
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• Flux Compactifications of M-Theory on Twisted Tori
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Supersymmetric compactifications of heterotic strings with fluxes and condensates
• Thermal duality and non-singular cosmology in d-dimensional superstrings
• Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes
• No-scale and scale-separated flux vacua from IIA on G2 orientifolds
• Matrix theory origins of non-geometric fluxes
• Thermal/quantum effects and induced superstring cosmologies
• Cosmological Phases of the String Thermal Effective Potential
• Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin
• Induced superstring cosmologies and moduli stabilization
• Marginal Deformations of Vacua with Massive boson-fermion Degeneracy Symmetry
• M-theory on seven-dimensional manifolds with SU(3) structure
• Attraction to a radiation-like era in early superstring cosmologies
• Orbifold Symmetry Reductions of Massive Boson-Fermion Degeneracy
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• Superstring cosmology for N_4 = 1 -> 0 superstring vacua
• Beyond Twisted Tori
• Massive Boson-Fermion Degeneracy and the Early Structure of the Universe
• Gaugino Condensates and Fluxes in N = 1 Effective Superpotentials
• On the moduli space of spontaneously broken N = 8 supergravity
• On supersymmetric AdS${}_3$ solutions of Type II
• Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds
• Weak gravity versus de Sitter
• Scale-separated AdS${}_3$ vacua from $G_2$-orientifolds using bispinors
• O6-plane backreaction on scale-separated Type IIA AdS${}_3$ vacua
• On general flux backgrounds with localized sources
• Non-Kaehler attracting manifolds
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• The embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions
• New potentials from Scherk-Schwarz reductions
• Dirac structures on nilmanifolds and coexistence of fluxes
• Constructing stable de Sitter in M-theory from higher curvature corrections
• The quantization problem in Scherk-Schwarz compactifications
• The Supermembrane with Central Charges on a G2 Manifold
• Twisted tori and fluxes: a no go theorem for Lie groups of weak G_2 holonomy
• KK-monopoles and G-structures in M-theory/type IIA reductions
• M-theory Cosmology, Octonions, Error Correcting Codes
• de Sitter Minima from M theory and String theory
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• Compact G2 holonomy spaces from SU(3) structures
• Inflationary de Sitter solutions from superstrings
• Gaugino Condensation with a Doubly Suppressed Gravitino Mass
• New N=1 AdS${}_4$ solutions of type IIB supergravity
• A second look at gauged supergravities from fluxes in M-theory
• Geometric non-geometry
• Aspects of moduli stabilisation in string and M-theory
• Vacua of $\omega$-deformed SO(8) supergravity
• G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
• The Minimally Immersed 4D Supermembrane
• M-theory, Black Holes and Cosmology
• One-loop effective potential in Scherk-Schwarz compactifications of pure d=5 supergravities
• Non-unimodular reductions and N = 4 gauged supergravities