Branes are Waves and Monopoles

Abstract

In a recent paper it was shown that fundamental strings are null waves in Double Field Theory. Similarly, membranes are waves in exceptional extended geometry. Here the story is continued by showing how various branes are Kaluza-Klein monopoles of these higher dimensional theories. Examining the specific case of the E7 exceptional extended geometry, we see that all branes are both waves and monopoles. Along the way we discuss the O(d; d) transformation of localized brane solutions not associated to an isometry and how true T-duality emerges in Double Field Theory when the background possesses isometries.

arXiv comment32 pages, Latex, v2, typos corrected

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• Search for a Higgs boson in the mass range from 145 to 1000 GeV decaying to a pair of W or Z bosons
• Dynamics of Perturbations in Double Field Theory & Non-Relativistic String Theory
• Exceptional field theory: $SL(5)$
• Exceptional field theory: $SO(5,5)$
• The Odd story of ${\alpha }^{\prime }$-corrections
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• Duality Symmetric String and M-Theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Non-geometric branes are DFT monopoles
• $\mathbf{O}(D,D)$ Covariant Noether Currents and Global Charges in Double Field Theory
• Exotic branes and non-geometric fluxes
• Non-Riemannian geometry of M-theory
• Five-brane actions in double field theory
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• Conserved Currents of Double Field Theory
• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• On the exceptional generalised Lie derivative for $d\ge 7$
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• World-volume Effective Action of Exotic Five-brane in M-theory
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Unwinding strings in semi-flatland
• Defect (p,q) Five-branes
• $\mathbf{O}(D,D)$ completion of the Friedmann equations
• Doubled Aspects of Vaisman Algebroid and Gauge Symmetry in Double Field Theory
• Exceptional M-brane sigma models and $\eta$-symbols
• On non-abelian U-duality of 11D backgrounds
• Black hole thermodynamics, stringy dualities and double field theory
• Doubled strings, negative strings and null waves
• Semi-doubled Sigma Models for Five-branes
• Global Aspects of Doubled Geometry and Pre-rackoid
• Particle actions and brane tensions from double and exceptional geometry
• Towards Weakly Constrained Double Field Theory
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• Global Double Field Theory is Higher Kaluza-Klein Theory
• O-folds: Orientifolds and Orbifolds in Exceptional Field Theory
• On the phase space in Double Field Theory
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
• Non-geometric Five-branes in Heterotic Supergravity
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
• The different faces of branes in Double Field Theory
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• Five-brane Current Algebras in Type II String Theories
• T-duality transformations for the NS5-brane along angular directions
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• Strings, Branes and the Self-dual Solutions of Exceptional Field Theory
• Classical worldvolumes as generalised geodesics
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• Reductions of Exceptional Field Theories
• The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective
• World-volume Effective Theories of Locally Non-geometric Branes
• Gauge field fluxes and Bianchi identities in extended field theories
• Duality Covariant Solutions in Extended Field Theories
• Black hole solutions in double field theory
• The invariant action for solitonic 5-branes
• Localized Kaluza-Klein 6-brane
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• Solutions in Exceptional Field Theory
• The Two-Parameter Brane Sigma-Model and Extended Solutions of M-Theory
• Extended Field Theories as higher Kaluza-Klein theories
• Exotic Aspects of Extended Field Theories