Locally non-geometric fluxes and missing momenta in M-theory

Abstract

We use exceptional field theory to describe locally non-geometric spaces of M-theory of more than three dimensions. For these spaces, we find a new set of locally non-geometric fluxes which lie in the R-R sector in the weak-coupling limit and can typically be characterised by mixed symmetry tensors. These spaces thus provide new examples of non-geometric backgrounds which go beyond the NS-NS sector of string theory. Starting from twisted tori we construct duality chains that lead to these new non-geometric backgrounds and we show that, just as in the four-dimensional case, there are missing momenta associated to the mixed symmetry tensors.

arXiv comment49 pages; v2: Published version, minor changes made

References in corpus (62)

• Double Field Theory
• A Geometry for Non-Geometric String Backgrounds
• Nongeometric Flux Compactifications
• New Supersymmetric String Compactifications
• Doubled Geometry and T-Folds
• Duality Twists, Orbifolds, and Fluxes
• Generalized Geometry and M theory
• Exceptional Form of D=11 Supergravity
• Supergravity as Generalised Geometry I: Type II Theories
• Geometric Constructions of Nongeometric String Theories
• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• The gauge structure of generalised diffeomorphisms
• T-duality, Generalized Geometry and Non-Geometric Backgrounds
• Lectures on Gauged Supergravity and Flux Compactifications
• Leading proton production in deep inelastic scattering at HERA
• Exceptional Field Theory II: E${}_{7(7)}$
• Generalised T-Duality and Non-Geometric Backgrounds
• The maximal D=4 supergravities
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• A ten-dimensional action for non-geometric fluxes
• T-Duality: Topology Change from H-flux
• SO(5,5) duality in M-theory and generalized geometry
• The local symmetries of M-theory and their formulation in generalised geometry
• T-duality and closed string non-commutative (doubled) geometry
• A geometric action for non-geometric fluxes
• Nonassociative Gravity in String Theory?
• Constructing Nongeometric Vacua in String Theory
• Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory
• Non-Geometric Fluxes in Supergravity and Double Field Theory
• On the Topology and Flux of T-Dual Manifolds
• The maximal D=7 supergravities
• Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds
• M-theory and Type IIB from a Duality Manifest Action
• Lectures on Nongeometric Flux Compactifications
• Geometry and fluxes of SL(5) exceptional field theory
• The O_{D,D} Geometry of String Theory
• Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative Quantum Mechanics
• Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• Half-maximal supersymmetry from exceptional field theory
• Double Field Theory on Group Manifolds
• 3-Cocycles, Non-Associative Star-Products and the Magnetic Paradigm of R-Flux String Vacua
• U-dual fluxes and Generalized Geometry
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• E7(7) formulation of N=2 backgrounds
• Non-geometric branes are DFT monopoles
• Counting supersymmetric branes
• Generalised Scherk-Schwarz reductions from gauged supergravity
• The Intriguing Structure of Non-geometric Frames in String Theory
• A bi-invariant Einstein-Hilbert action for the non-geometric string
• Non-commutative/non-associative IIA (IIB) Q- and R-branes and their intersections
• Tensor hierarchies, Borcherds algebras and E11
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Non-associativity in non-geometric string and M-theory backgrounds, the algebra of octonions, and missing momentum modes
• $G_2$-structures and quantization of non-geometric M-theory backgrounds
• Timelike U-dualities in Generalised Geometry
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• T-duality, Quotients and Currents for Non-Geometric Closed Strings
• Non-geometric Kaluza-Klein monopoles and magnetic duals of M-theory R-flux backgrounds
• U-duality in three and four dimensions
• A geometric formulation of exceptional field theory

Cited by in corpus (10)

• Non-geometric backgrounds in string theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Weaving the Exotic Web
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Fluxes in Exceptional Field Theory and Threebrane Sigma-Models
• AKSZ constructions for topological membranes on $G_2$-manifolds
• Double Field Theory and Geometric Quantisation
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• World-volume Effective Theories of Locally Non-geometric Branes
• Extended Field Theories as higher Kaluza-Klein theories