A stable classical Z2^2-graded supersymmetric Yang-Mills theory is constructed, realizing generalized statistics without classical ghost instabilities.
The Geometry of Supersymmetry / A concise introduction
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A general construction method for graded Casimir elements and central extensions is given for color Lie algebras, with explicit examples for sl(2) graded by Z_3^2 and for q(n), osp(m|2n) graded by Z_2^2.
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On Generalized Statistics and Stability in $\mathbb{Z}_2^2$-Graded Supersymmetric Yang-Mills Theory
A stable classical Z2^2-graded supersymmetric Yang-Mills theory is constructed, realizing generalized statistics without classical ghost instabilities.
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Graded Casimir elements and central extensions of color Lie algebras
A general construction method for graded Casimir elements and central extensions is given for color Lie algebras, with explicit examples for sl(2) graded by Z_3^2 and for q(n), osp(m|2n) graded by Z_2^2.