Super tensor models, super fuzzy spaces and super n-ary transformations

Understand

By extending the algebraic description of the bosonic rank-three tensor models, a general framework for super rank-three tensor models and correspondence to super fuzzy spaces is proposed.

• The corresponding super fuzzy spaces must satisfy a certain cyclicity condition on the algebras of functions on them.
• Due to the cyclicity condition, the symmetry of the super rank-three tensor models are represented by super n-ary transformations.
• The Leibnitz rules and the fundamental identities for the super n-ary transformations are discussed from the perspective of the symmetry of the algebra of a fuzzy space.