Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry

Abstract

We propose a novel approach to the brane worldvolume theory based on the geometry of extended field theories: double field theory and exceptional field theory. We demonstrate the effectiveness of this approach by showing that one can reproduce the conventional bosonic string and membrane actions, and the M5-brane action in the weak-field approximation. At a glance, the proposed 5-brane action without approximation looks different from the known M5-brane actions, but it is consistent with the known nonlinear self-duality relation, and it may provide a new formulation of a single M5-brane action. Actions for exotic branes are also discussed.

arXiv comment6 pages; v2: references added, typos corrected; v3: references added, discussions clarified, title expanded, to appear in PRL; v4: minor corrections

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Cited by in corpus (18)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• Non-Abelian U-duality for membrane
• The Exceptional Sigma Model
• Exceptional M-brane sigma models and $\eta$-symbols
• Higher T-duality in M-theory via local supersymmetry
• Born sigma model for branes in exceptional geometry
• Type II strings are Exceptional
• Particle actions and brane tensions from double and exceptional geometry
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• Currents, charges and algebras in exceptional generalised geometry
• Poisson-Lie T-plurality for dressing cosets
• Classical worldvolumes as generalised geodesics
• World-volume Effective Theories of Locally Non-geometric Branes
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• $\eta$-symbols in exceptional field theory
• Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations