NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes

Abstract

In the first half of the paper, we study in details NS-branes, including the NS5-brane, the Kaluza-Klein monopole and the exotic $5_2^2$- or Q-brane, together with Bianchi identities for NSNS (non)-geometric fluxes. Four-dimensional Bianchi identities are generalized to ten dimensions with non-constant fluxes, and get corrected by a source term in presence of an NS-brane. The latter allows them to reduce to the expected Poisson equation. Without sources, our Bianchi identities are also recovered by squaring a nilpotent $Spin(D,D)\times {\mathbb{R}}^{+}$ Dirac operator. Generalized Geometry allows us in addition to express the equations of motion explicitly in terms of fluxes. In the second half, we perform a general analysis of ten-dimensional geometric backgrounds with non-geometric fluxes, in the context of $\beta$-supergravity. We determine a well-defined class of such vacua, that are non-geometric in standard supergravity: they involve $\beta$-transforms, a manifest symmetry of $\beta$-supergravity with isometries. We show as well that these vacua belong to a geometric T-duality orbit.

v2: minor changes and additions, few references added, published version

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• Duality orbits of non-geometric fluxes
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Cited by in corpus (58)

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• World-volume Effective Actions of Exotic Five-branes
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• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• Five-brane actions in double field theory
• Double Field Theory at SL(2) angles
• Classical Yang-Baxter equation from beta-supergravity
• Weaving the Exotic Web
• New supersymmetric vacua on solvmanifolds
• Non-abelian tri-vector deformations in d=11 supergravity
• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Defect branes as Alice strings
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• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• On current algebras, generalised fluxes and non-geometry
• On T-duality transformations for the three-sphere
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• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• Black hole thermodynamics, stringy dualities and double field theory
• The $\beta$-symmetry of supergravity
• The monodromy of T-folds and T-fects
• Gravity theory on Poisson manifold with $R$-flux
• KK-monopoles and G-structures in M-theory/type IIA reductions
• Semi-doubled Sigma Models for Five-branes
• T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• Classifying Supersymmetric Solutions in 3D Maximal Supergravity
• Towards a world-sheet description of doubled geometry in string theory
• A second look at gauged supergravities from fluxes in M-theory
• U-dual branes and mixed symmetry tensor fields
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• Contravariant Gravity on Poisson Manifolds and Einstein Gravity
• Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
• On Missing Bianchi Identities in Cohomology Formulation
• Codimension-2 Solutions in Five-Dimensional Supergravity
• Non-geometric Five-branes in Heterotic Supergravity
• Supersymmetry Projection Rules on Exotic Branes
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• O(d,d)-Duality in String Theory
• Exotic Brane Junctions from F-theory
• Contravariant geometry and emergent gravity from noncommutative gauge theories
• Generalized complex geometry of pure backgrounds in ten and eleven dimensions
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Gauge field fluxes and Bianchi identities in extended field theories
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$
• Duality rules for more mixed-symmetry potentials