A note on the M2-M5 brane system and fuzzy spheres

Abstract

This note covers various aspects of recent attempts to describe membranes ending on fivebranes using fuzzy geometry. In particular, we examine the Basu-Harvey equation and its relation to the Nahm equation as well as the consequences of using a non-associative algebra for the fuzzy three-sphere. This produces the tantalising result that the fuzzy funnel solution corresponding to Q coincident membranes ending on a five-brane has $Q^{3/2}$ degrees of freedom.

17 pages, latex

References in corpus (1)

• On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres

Cited by in corpus (14)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• M2 to D2
• M-theory branes and their interactions
• Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
• Aspects of Multiple Membranes
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Topological branes, p-algebras and generalized Nahm equations
• SDiff Gauge Theory and the M2 Condensate
• A toy model of open membrane field theory in constant 3-form flux
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres
• Aspects of Supersymmetry in Multiple Membrane Theories
• A New Lorentz Violating Nonlocal Field Theory From String-Theory