Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors

Abstract

We construct an action for non-abelian 2-form in 6-dimensions. Our action consists of a non-abelian generalization of the abelian action of Perry and Schwarz for a single five-brane. It admits a self-duality equation on the field strength as the equation of motion. It has a modified 6d Lorentz symmetry. On dimensional reduction on a circle, our action gives the standard 5d Yang-Mills action plus higher order corrections. Based on these properties, we propose that our theory describes the gauge sector of multiple M5-branes in flat space.

LaTeX, 26 pages. v2: improved discussion of Lorentz symmetry. ref added. v3: add comments in the discussion section on the inclusion of scalar fields and supersymmetry; title changed to a more suitable one; version published in JHEP

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• Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space
• Deconstructing (2,0) Proposals
• The Conformal Anomaly of M5-Branes
• Six-Dimensional (1,0) Superconformal Models and Higher Gauge Theory
• Semistrict Higher Gauge Theory
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• M-Theory and Maximally Supersymmetric Gauge Theories
• Non-Abelian Self-Dual String Solutions
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Lessons from M2's and Hopes for M5's
• 5d and 6d SCFTs Have No Weak Coupling Limit
• Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections
• Superloop Space
• Non-Abelian tensor hierarchy in (1,0) D=6 superspace
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Self-dual String and Higher Instanton Solutions
• Note on the self-duality of gauge fields in topologically nontrivial spacetime
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• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• The Yang-Mills and chiral fields in six dimensions
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization
• Giant graviton interactions and M2-branes ending on multiple M5-branes
• BRST symmetry and Darboux transformations in Abelian 2-form gauge theory
• A Nonabelian $(1,0)$ Tensor Multiplet Theory in 6D
• Partition Functions for Maxwell Theory on the Five-torus and for the Fivebrane on S1XT5
• $(p-1)$-Bracket for D$p$-branes in Large R-R Field Background
• Towards a tensionless string field theory for the N=(2,0) CFT in d=6
• Instantonic string solitons on M5 branes
• Nonlinear (chiral) p-form electrodynamics
• A toy model for $p$-form gauge symmetry