Strings and Branes are Waves

Abstract

We examine the equations of motion of double field theory and the duality manifest form of M-theory. We show the solutions of the equations of motion corresponding to null pp-waves correspond to strings or membranes from the usual spacetime perspective. A Goldstone mode analysis of the null wave solution in double field theory produces the equations of motion of the duality manifest string.

31 pages, LaTex, v2 some typos corrected and refs added

References in corpus (44)

• String Theory Dynamics In Various Dimensions
• Double Field Theory
• Generalized metric formulation of double field theory
• E_11 and M Theory
• Background independent action for double field theory
• Generalised Geometry for M-Theory
• Double Field Theory: A Pedagogical Review
• The gauge algebra of double field theory and Courant brackets
• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
• Generalized Geometry and M theory
• Exceptional Form of D=11 Supergravity
• Supergravity as Generalised Geometry I: Type II Theories
• M-theory, exceptional generalised geometry and superpotentials
• Double Field Theory and N=4 Gauged Supergravity
• The gauge structure of generalised diffeomorphisms
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• $E_{11}$, SL(32) and Central Charges
• Doubled α'-Geometry
• Gauged Double Field Theory
• SO(5,5) duality in M-theory and generalized geometry
• Duality Invariant Actions and Generalised Geometry
• Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions
• The local symmetries of M-theory and their formulation in generalised geometry
• Extended geometry and gauged maximal supergravity
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• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Covariant action for a string in doubled yet gauged spacetime
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• The Symmetry of M-Theories
• M-theory and Type IIB from a Duality Manifest Action
• Representations of G+++ and the role of space-time
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• The gauge structure of Exceptional Field Theories and the tensor hierarchy
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Cited by in corpus (46)

• Exceptional field theory: $SL(5)$
• Branes are Waves and Monopoles
• The Odd story of ${\alpha }^{\prime }$-corrections
• An Action for F-theory: $\mathrm{SL}(2)\times {\mathbb{R}}^{+}$ Exceptional Field Theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Non-geometric branes are DFT monopoles
• World-volume Effective Actions of Exotic Five-branes
• $\mathbf{O}(D,D)$ Covariant Noether Currents and Global Charges in Double Field Theory
• Remarks on the non-Riemannian sector in Double Field Theory
• Non-Riemannian geometry of M-theory
• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• Five-brane actions in double field theory
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional 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 $d\ge 7$
• Canonical formulation and conserved charges of double field theory
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Cosmological Implications from O(D,D)
• $\mathbf{O}(D,D)$ completion of the Friedmann equations
• Doubled Aspects of Vaisman Algebroid and Gauge Symmetry in Double Field Theory
• On non-abelian U-duality of 11D backgrounds
• Black hole thermodynamics, stringy dualities and double field theory
• Exceptional M-brane sigma models and $\eta$-symbols
• 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
• Currents, charges and algebras in exceptional generalised geometry
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Identifying Riemannian singularities with regular non-Riemannian geometry
• 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
• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Dimensional Reduction of the Generalized DBI
• The different faces of branes in Double Field Theory
• O(D,D) gauge fields in the T-dual string Lagrangian
• Double Field Theory and Geometric Quantisation
• World-volume Effective Theories of Locally Non-geometric Branes
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• Black hole solutions in double field theory
• The invariant action for solitonic 5-branes
• Solutions in Exceptional Field Theory
• Localized Kaluza-Klein 6-brane