Mass dimension one fermions from flag dipole spinors

According to the Lounesto classification, there are six classes of spinors. The Dirac and Weyl spinors belong to the first three and the sixth classes respectively. The remaining fourth and fifth classes are known as the flag dipole and flag pole spinors respectively. In this letter, a mass dimension one fermionic field with flag dipole spinors as expansion coefficients is constructed. These spinors are shown to be related to Elko (flag pole spinors) by a matrix transformation. It shows that the flag dipole spinors are generalizations of Elko. To construct a Lorentz-covariant quantum field, an infinitesimal deformation is applied to the spinor dual. Subsequently, we show that the fermionic fields constructed from Elko and flag dipole spinors are physically equivalent.Comment: 10 page