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Detailed view Article in peer-reviewed journal
Communications in Mathematical Physics 187 (1997) 429
On Casimir's Ghost
D. Arnaudon1, M. Bauer2, L. Frappat1

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.
1:  LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique
2:  IPHT - Institut de Physique Théorique (ex SPhT)