M-brane Models from Non-Abelian Gerbes

Abstract

We make the observation that M-brane models defined in terms of 3-algebras can be interpreted as higher gauge theories involving Lie 2-groups. Such gauge theories arise in particular in the description of non-abelian gerbes. This observation allows us to put M2- and M5-brane models on equal footing, at least as far as the gauge structure is concerned. Furthermore, it provides a useful framework for various generalizations; in particular, it leads to a fully supersymmetric generalization of a previously proposed set of tensor multiplet equations.

17 pages, v2: new SUSY models, version published in JHEP

References in corpus (14)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• Selfdual strings and loop space Nahm equations
• The Self-Dual String Soliton
• (1,0) superconformal models in six dimensions
• Nonabelian (2,0) Tensor Multiplets and 3-algebras
• On the Lie-algebraic origin of metric 3-algebras
• Nonabelian Bundle Gerbes, their Differential Geometry and Gauge Theory
• Higher gauge theory -- differential versus integral formulation
• Marginal Deformations and 3-Algebra Structures
• The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space
• Constructing Self-Dual Strings
• Constructing Generalized Self-Dual Strings

Cited by in corpus (26)

• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space
• Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets
• Towards an M5-Brane Model I: A 6d Superconformal Field Theory
• Six-Dimensional (1,0) Superconformal Models and Higher Gauge Theory
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• Duality-symmetric actions for non-Abelian tensor fields
• The M5-brane action revisited
• On $3$-gauge transformations, $3$-curvature and $\mathbf{Gray}$-categories
• Matrix 3-Lie superalgebras and BRST supersymmetry
• Note on non-Abelian two-form gauge fields
• Lie 2-algebra models
• M-theory from the Superpoint
• The ABJM Model is a Higher Gauge Theory
• $L_{\infty }$-Algebra Models and Higher Chern-Simons Theories
• A Lie based 4-dimensional higher Chern-Simons theory
• The Non-Abelian Self-Dual String and the (2,0)-Theory
• Generalized Higher Gauge Theory
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• M2-Branes And The (2,0) Superalgebra
• Self-dual String and Higher Instanton Solutions
• Two-dimensional algebra in lattice gauge theory
• Towards an M5-Brane Model III: Self-Duality from Additional Trivial Fields
• Magnetic Domains
• Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory