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.

arXiv commentv3: 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

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Cited by in corpus (8)

• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
• Lie 2-algebra models
• M5 brane from mass deformed BLG theory
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• Partonic description of a supersymmetric p-brane
• Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra
• Open M2-branes with Flux and Modified Basu-Harvey Equation