Supersymmetric reduced models with a symmetry based on Filippov algebra

Abstract

Generalizations of the reduced model of super Yang-Mills theory obtained by replacing the Lie algebra structure to Filippov $n$-algebra structures are studied. Conditions for the reduced model actions to be supersymmetric are examined. These models are related with what we call $\{cal N}_{min}=2$ super $p$-brane actions.

v3: In the previous versions we overlooked that Eq.(3.9) holds more generally, and missed some supersymmetric actions. Those are now included and modifications including a slight change in the title were made accordingly. 1+18 pages

References in corpus (6)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Light-cone M5 and multiple M2-branes
• Topological branes, p-algebras and generalized Nahm equations
• M-Theory Superalgebra From Multiple Membranes

Cited by in corpus (4)

• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• Open M2-branes with Flux and Modified Basu-Harvey Equation
• Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra