CLASSICAL AND QUANTUM MECHANICS OF A SPINNING PARTICLE INTERACTING WITH ANTI-SYMMETRIC NON-ABELIAN TENSOR FIELDS
Rachel H. Rietdijk · Modern Physics Letters A · 1992
We study the spinning particle interacting in a supersymmetric and gauge invariant way with anti-symmetric non-Abelian tensor fields. A quantum theory is presented. We calculate the Witten index for the corresponding Dirac operator and conclude that the anti-symmetric non-Abelian tensor fields do not give any contribution to it.