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 (6)

• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• SDiff Gauge Theory and the M2 Condensate
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map

Cited by in corpus (3)

• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Quantized Nambu-Poisson Manifolds and n-Lie Algebras
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras