U-dual fluxes and Generalized Geometry

Abstract

We perform a systematic analysis of generic string flux compactifications, making use of Exceptional Generalized Geometry (EGG) as an organizing principle. In particular, we establish the precise map between fluxes, gaugings of maximal 4d supergravity and EGG, identifying the complete set of gaugings that admit an uplift to 10d heterotic or type IIB supegravity backgrounds. Our results reveal a rich structure, involving new deformations of 10d supergravity backgrounds, such as the RR counterparts of the $\beta$-deformation. These new deformations are expected to provide the natural extension of the $\beta$-deformation to full-fledged F-theory backgrounds. Our analysis also provides some clues on the 10d origin of some of the particularly less understood gaugings of 4d supergravity. Finally, we derive the explicit expression for the effective superpotential in arbitrary N = 1 heterotic or type IIB orientifold compactifications, for all the allowed fluxes.

58 pages, 6 tables

References in corpus (49)

• CFT's From Calabi-Yau Four-folds
• Target Space Duality in String Theory
• Double Field Theory
• Flux Compactification
• Flux compactifications in string theory: a comprehensive review
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• A Geometry for Non-Geometric String Backgrounds
• Moduli Stabilization from Fluxes in a Simple IIB Orientifold
• The effective action of N=1 Calabi-Yau orientifolds
• Nongeometric Flux Compactifications
• Generalised Geometry for M-Theory
• Doubled Geometry and T-Folds
• Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
• On Lagrangians and Gaugings of Maximal Supergravities
• M-theory, exceptional generalised geometry and superpotentials
• T-duality, Generalized Geometry and Non-Geometric Backgrounds
• Lectures on Gauged Supergravity and Flux Compactifications
• Hitchin Functionals in N=2 Supergravity
• Generalised T-Duality and Non-Geometric Backgrounds
• More Dual Fluxes and Moduli Fixing
• Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• Gauged N=4 supergravities
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Flux moduli stabilisation, Supergravity algebras and no-go theorems
• R--R Scalars, U--Duality and Solvable Lie Algebras
• Heterotic String Theory on non-Kaehler Manifolds with H-Flux and Gaugino Condensate
• Complete classification of Minkowski vacua in generalised flux models
• Generalised $G_2$-structures and type IIB superstrings
• Properties Of Heterotic Vacua From Superpotentials
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• N=4 gauged supergravity and a IIB orientifold with fluxes
• Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications
• Solvable Lie Algebras in Type IIA, Type IIB and M Theories
• New D=4 gauged supergravities from N=4 orientifolds with fluxes
• N=4 Supergravity Lagrangian for Type IIB Orientifold on T^6/Z_2 in Presence of Fluxes and D3-Branes
• Gauge Symmetry, T-Duality and Doubled Geometry
• Type-IIA flux compactifications and N=4 gauged supergravities
• E7(7) formulation of N=2 backgrounds
• An Orientifold with Fluxes and Branes via T-duality
• Gravity duals to deformed SYM theories and Generalized Complex Geometry
• Algebras and non-geometric flux vacua
• Unusual gauged supergravities from type IIA and type IIB orientifolds
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin
• Non-geometric flux vacua, S-duality and algebraic geometry
• The minimal N=4 no-scale model from generalized dimensional reduction

Cited by in corpus (54)

• Generalized Geometry and M theory
• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• Exploring Double Field Theory
• Gauged Double Field Theory
• A ten-dimensional action for non-geometric fluxes
• Extended geometry and gauged maximal supergravity
• Lectures on Generalized Complex Geometry for Physicists
• Charting the landscape of N=4 flux compactifications
• M-theory and Type IIB from a Duality Manifest Action
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• Geometry and fluxes of SL(5) exceptional field theory
• The exceptional story of massive IIA supergravity
• Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• Effective actions of non-geometric fivebranes
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• On Type IIB moduli stabilization and N = 4, 8 supergravities
• Generalised Scherk-Schwarz reductions from gauged supergravity
• How to halve maximal supergravity
• Triality, Periodicity and Stability of SO(8) Gauged Supergravity
• Exotic branes and non-geometric fluxes
• Exceptional Flux Compactifications
• $P$ fluxes and exotic branes
• N=1 vacua in Exceptional Generalized Geometry
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• Weaving the Exotic Web
• Timelike U-dualities in Generalised Geometry
• Brane-jet stability of non-supersymmetric AdS vacua
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Dictionary for the type II nongeometric flux compactifications
• Generalized Parallelizable Spaces from Exceptional Field Theory
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Lobotomy of Flux Compactifications
• Locally non-geometric fluxes and missing momenta in M-theory
• Non-geometric fluxes & tadpole conditions for exotic branes
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Symplectic formulation of the type IIA nongeometric scalar potential
• On stable type IIA de-Sitter vacua with geometric flux
• All maximal gauged supergravities with uplift
• Type IIB on $S^3\times S^3$ through $Q$ & $P$ fluxes
• Seeking de-Sitter Vacua in the String Landscape
• U-duality in three and four dimensions
• Geometric non-geometry
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• Double Field Theory description of Heterotic gauge symmetry enhancing-breaking
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• Lie algebroids, non-associative structures and non-geometric fluxes
• SL(2,R) covariant conditions for N=1 flux vacua
• Taxonomy of scalar potential with U-dual fluxes
• Symplectic formulation of the type IIB scalar potential with U-dual fluxes
• Reading-off the non-geometric scalar potentials with U-dual fluxes
• Duality rules for more mixed-symmetry potentials
• Systematic exploration of the non-geometric flux landscape
• Duality phases and halved maximal D=4 supergravity