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In a previous paper we introduced the notion of Z 2× Z 2-graded classical mechanics and
presented a general framework to construct, in the Lagrangian setting, the worldline sigma …

Abstract Z _2 * Z _2 Z 2× Z 2-graded mechanics admits four types of particles: ordinary
bosons, two classes of fermions (fermions belonging to different classes commute among …

Irreducible representations (irreps) of Z 2 2-graded supersymmetry algebra of N= 2 are
obtained by the method of induced representation, and they are used to derive Z 2 2-graded …

A novel feature of the Z 2× Z 2-graded supersymmetry which finds no counterpart in ordinary
supersymmetry is the presence of 11-graded exotic bosons (implied by the existence of two …

We investigate superfield formulation of the minimal Z 2 2-supersymmetry. It is shown that
the integrability on Z 2 2-superspace guarantees the invariance of action. Then we present …

We discuss the superconformal quantum mechanics arising from the M2-branes. We begin
with a comprehensive review on the superconformal quantum mechanics and emphasize …

We argue that off-shell dualities between d= 1 supermultiplets with different sets of physical
bosonic components and the same number of fermionic ones are related to gauging some …

Adinkras are diagrams that describe many useful supermultiplets in D=1 dimensions. We
show that the topology of the Adinkra is uniquely determined by a doubly even code …

Given an associative ring of Zn 2-graded operators, the number of inequivalent brackets of
Lie-type which are compatible with the grading and satisfy graded Jacobi identities is bn “ntn …