Supersymmetric reduced models with a symmetry based on Filippov algebra

TL;DR

This paper explores supersymmetric reduced models of super Yang-Mills theory generalized through Filippov $n$-algebra structures, analyzing their supersymmetry conditions and connections to super $p$-brane actions.

Contribution

It introduces a novel class of supersymmetric reduced models based on Filippov $n$-algebras and examines their supersymmetry properties and relation to super $p$-branes.

Findings

Conditions for supersymmetry in the models are established.

Models are related to $ cal N_{min}=2$ super $p$-brane actions.

Framework extends super Yang-Mills theory with higher algebra structures.

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.