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On Casimir's Ghost
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We define on the universal enveloping superalgebra of osp(1|2n) a nonstandard adjoint action, endowing it with a module structure. This allows, in particular, to construct a bosonic operator which anticommutes with all the fermionic generators and which appears to be the square root of a certain Casimir operator.
Forward citations
Cited by 2 Pith papers
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Supersymmetry, differential operators of infinite order and theta functions
Theta-null values are characterized as the unique solutions of a manifestly modular-invariant system of differential equations of infinite order built from the supersymmetry algebra osp(1|2n).
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Wigner continuous-spin equations in $\mathbf{AdS_D}$: bosonic and fermionic cases
Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.
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