On Casimir's Ghost

D. Arnaudon (1) , M. Bauer (2) , L. Frappat (1)

1 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Domaines: Algèbres quantiques [math.QA]

D. Arnaudon, M. Bauer, L. Frappat. On Casimir's Ghost. Communications in Mathematical Physics, 1997, 187, pp.429. ⟨hal-00350833⟩