The KK-Monopole/NS5-Brane in Doubled Geometry

Abstract

The Kaluza-Klein monopole has been recognized as a string background with significant non-geometric features: it must appear "localized" to winding strings to match the NS5-brane's localization on the T-dual circle. In this work, we explicitly construct this T-dual system in the doubled geometry formalism, which proves to successfully describe the duality despite a broken isometry on one side of the duality pair. We further suggest an extension of the doubled formalism to the gauged linear sigma models describing this system (both bosonic and supersymmetric) and show that previous calculations of worldsheet instanton effects are best understood in this doubled form.

24 pages; v2: references added, minor clarification; v3 (published version): references added

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Cited by in corpus (40)

• Exploring Double Field Theory
• A ten-dimensional action for non-geometric fluxes
• Exotic Branes in String Theory
• Exceptional field theory: $SL(5)$
• Exceptional field theory: $SO(5,5)$
• Non-geometric backgrounds in string theory
• Branes are Waves and Monopoles
• NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
• Effective actions of non-geometric fivebranes
• Duality Symmetric String and M-Theory
• Worldsheet Instanton Corrections to 522-brane Geometry
• Strings and Branes are Waves
• Gauged Linear Sigma Model for Exotic Five-brane
• The Geometry, Branes and Applications of Exceptional Field Theory
• A Double Sigma Model for Double Field Theory
• Non-geometric branes are DFT monopoles
• Non-commutative/non-associative IIA (IIB) Q- and R-branes and their intersections
• Five-brane actions in double field theory
• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Defect (p,q) Five-branes
• Unwinding strings in semi-flatland
• Doubled strings, negative strings and null waves
• T-duality Transformation of Gauged Linear Sigma Model with F-term
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• The Semi-Chiral Quotient, Hyperkahler Manifolds and T-duality
• Degenerations of K3, Orientifolds and Exotic Branes
• Double Field Theory and Geometric Quantisation
• Geometry of ${\mathbb{R}}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory
• Reflections of NS5 branes
• World-volume Effective Theories of Locally Non-geometric Branes
• Umbral Moonshine and String Duality
• Torus Bundles, Automorphisms and T-Duality
• Gauge field fluxes and Bianchi identities in extended field theories
• Duality Covariant Solutions in Extended Field Theories
• Extended Field Theories as higher Kaluza-Klein theories
• Doubled space and extended supersymmetry
• T-duality and entanglement entropy for NS five-branes
• Localized Kaluza-Klein 6-brane