A Concise Review on M5-brane in Large C-Field Background

Abstract

We give a concise review of recent developments of the M5-brane theory derived from the Bagger-Lambert model. It is a 6 dimensional supersymmetric self-dual gauge theory describing an M5-brane in a large constant $C$-field background. The non-Abelian gauge symmetry corresponds to diffeomorphisms preserving an exact 3-form on the worldvolume, which defines a Nambu-Poisson bracket. Various interesting geometric and algebraic properties of the theory are discussed.

18 pages, minor modification, references added

References in corpus (23)

• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• On Foundation of the Generalized Nambu Mechanics
• Noncommutative Open String and D-brane
• D-branes and Deformation Quantization
• Covariant Action for the Super-Five-Brane of M-Theory
• Duality Symmetric Actions
• World-Volume Action of the M Theory Five-Brane
• Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
• A Noncommutative M-Theory Five-brane
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• Deformation of BF theories, Topological Open Membrane and A Generalization of The Star Deformation
• A Note On Space Noncommutativity
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• SDiff Gauge Theory and the M2 Condensate
• Making Non-Associative Algebra Associative
• Comments on the topological open membrane
• Open membranes, ribbons and deformed Schild strings
• BPS Solitons in M5-Brane Worldvolume Theory with Constant Three-Form Field
• Nambu Bracket for M Theory
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure

Cited by in corpus (19)

• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Quantized Nambu-Poisson Manifolds and n-Lie Algebras
• Lagrangian Formulations of Self-dual Gauge Theories in Diverse Dimensions
• Effective Action for Dp-Brane in Large RR (p-1)-Form Background
• Cosmological Implications from O(D,D)
• A No-Go Theorem for M5-brane Theory
• Gauge and Supersymmetry Invariance of N=2 Boundary Chern-Simons Theory
• S-Duality for D3-Brane in NS-NS and R-R Backgrounds
• Supersymmetry and BPS States on D4-brane in Large C-field Background
• BPS States on M5-brane in Large C-field Background
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction
• Generalized Yang-Mills Theory and Gravity
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Extended generalized geometry and a DBI-type effective action for branes ending on branes
• Gauge Transformation of Double Field Theory for Open String
• Dimensional Reduction of the Generalized DBI
• Nambu-Poisson Gauge Theory
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras