Constructing Self-Dual Strings

Abstract

We present an ADHMN-like construction which generates self-dual string solutions to the effective M5-brane worldvolume theory from solutions to the Basu-Harvey equation. Our construction finds a natural interpretation in terms of gerbes, which we develop in some detail. We also comment on a possible extension to stacks of multiple M5-branes.

1+19 pages, presentation improved, minor corrections, published version

References in corpus (17)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• The M2-M5 Brane System and a Generalized Nahm's Equation
• D-branes, Monopoles and Nahm Equations
• M2 to D2
• n-ary algebras: a review with applications
• Selfdual strings and loop space Nahm equations
• The Self-Dual String Soliton
• On M5-branes in N=6 Membrane Action
• Monopoles and Strings in Noncommutative Gauge Theory
• Multiple M2-branes and Generalized 3-Lie algebras
• M-theory branes and their interactions
• Nahm Equations and Boundary Conditions
• M2-M5 Systems in N=6 Chern-Simons Theory
• The Non-Abelian Self Dual String on the Light Cone

Cited by in corpus (20)

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• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds
• Six-Dimensional (1,0) Superconformal Models and Higher Gauge Theory
• On Twistors and Conformal Field Theories from Six Dimensions
• M-brane Models from Non-Abelian Gerbes
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• Non-Abelian Self-Dual String Solutions
• The ABJM Model is a Higher Gauge Theory
• Constructing Generalized Self-Dual Strings
• Self-dual String and Higher Instanton Solutions
• Higher Gauge Theory
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• M5-branes in ABJM theory and Nahm equation
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• Magnetic Domains
• Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra
• M-Brane Models and Loop Spaces
• Integrability structures in string theory
• A toy model for $p$-form gauge symmetry