Effective Action for Non-Geometric Fluxes from Duality Covariant Actions

Abstract

The (heterotic) double field theories and the exceptional field theories are recently developed for manifestly duality covariant formulation of various supergravity theories, describing low-energy limit of various (heterotic) superstring and M-theory compactifications. These field theories are known to be reduced to the standard descriptions by introducing appropriately parameterized generalized metric and by applying suitably chosen section conditions. We generalize this development to non-geometric backgrounds by utilizing dual fields pertinent to non-geometric fluxes. We introduce different parameterizations for the generalized metric, in terms of the conventional supergravity fields or the dual fields. Under certain simplifying assumptions, we construct new effective action for non-geometric backgrounds. We then obtain the non-geometric backgrounds sourced by exotic branes. From them, we construct their $U$-duality monodromy matrices. The charge of exotic branes obtained from these monodromy matrices agrees perfectly with the charge obtained from the non-geometric flux integral.

cover + 101 pages; v2. published version in JHEP

References in corpus (25)

• Double Field Theory
• Generalised Geometry for M-Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Exceptional Field Theory III: E${}_{8(8)}$
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Double Field Theory Formulation of Heterotic Strings
• Search for a new scalar resonance decaying to a pair of Z bosons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Exceptional field theory: $SO(5,5)$
• Heterotic Effective Action and Duality Symmetries Revisited
• Heterotic $\alpha$'-corrections in Double Field Theory
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
• U-dual fluxes and Generalized Geometry
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• Non-geometric branes are DFT monopoles
• A bi-invariant Einstein-Hilbert action for the non-geometric string
• Rotating string in doubled geometry with generalized isometries
• Exotic branes and non-geometric fluxes
• E${}_{8(8)}$ Exceptional Field Theory: Geometry, Fermions and Supersymmetry
• Defect branes as Alice strings
• Generalised vielbeins and non-linear realisations

Cited by in corpus (20)

• The Odd story of ${\alpha }^{\prime }$-corrections
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Remarks on the non-Riemannian sector in Double Field Theory
• Non-Abelian U-duality for membrane
• Weaving the Exotic Web
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Exceptional M-brane sigma models and $\eta$-symbols
• Locally non-geometric fluxes and missing momenta in M-theory
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• Polyvector deformations of Type IIB backgrounds
• Reductions of Exceptional Field Theories
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• Exotic Aspects of Extended Field Theories
• Duality rules for more mixed-symmetry potentials
• Generalised U-dual solutions in supergravity