Analogues of discrete torsion for the M-theory three-form

In this article we shall outline a derivation of the analogue of discrete torsion for the M-theory three-form potential. We find that some of the differences between orbifold group actions on the C field are classified by $H^3(\Gamma ,U(1\left)\mathrm{}\right).$ We also compute the phases that the low-energy effective action of a membrane on $T^3$ would see in the analogue of a twisted sector, and note that they are invariant under the obvious $SL(3,\mathbf{Z})$ action.