Nambu-Sigma model and effective membrane actions

Abstract

We propose an effective action for a p'-brane with open p-branes ending on it. The action has dual descriptions similar to the commutative and non-commutative ones of the DBI action for D-branes and open strings. The Poisson structure governing the non-commutativity of the D-brane is replaced by a Nambu structure and the open-closed string relations are generalized to the case of p'-branes utilizing a novel Nambu sigma model description of p-branes. In the case of an M5-brane our action interpolates between M5-actions already proposed in the literature and matrix model like actions involving Nambu structures.

4 pages, v2: typos fixed, references added

References in corpus (9)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Brane Effective Actions, Kappa-Symmetry and Applications
• More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
• Model of M-theory with Eleven Matrices
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• A Note on Topological M5-branes and String-Fivebrane Duality

Cited by in corpus (16)

• Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds
• D-branes in Generalized Geometry and Dirac-Born-Infeld Action
• Cosmological Implications from O(D,D)
• S-Duality for D3-Brane in NS-NS and R-R Backgrounds
• Topological Field Theories induced by twisted R-Poisson structure in any dimension
• p-Brane Actions and Higher Roytenberg Brackets
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Gauge Transformation of Double Field Theory for Open String
• Extended generalized geometry and a DBI-type effective action for branes ending on branes
• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Dimensional Reduction of the Generalized DBI
• Nambu-Poisson Gauge Theory
• Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories
• Reduction of Nambu-Poisson manifolds by regular distributions
• Geometry of Membrane Sigma Models
• Two dimensional Nambu sigma model