FREE TOTALLY (ANTI)SYMMETRIC MASSLESS FERMIONIC FIELDS IN D-DIMENSIONAL ANTI-DE SITTER SPACE

Free massless fermionic fields of arbitrary spins s > 0 corresponding to totally (anti)symmetric tensor-spinor representations of the SO(d - 1) compact subgroup and in d-dimensional anti-de Sitter space are inv estigated. We propose the free equations of motion, subsidiary conditi ons and corresponding gauge transformations for such fields. The equat ions obtained are used to derive the lowest energy values for the abov e-mentioned representations. A new representation for equations of mot ion and gauge transformations in terms of generators of the anti-de Si tter group SO(d - 1,2) is found. It is demonstrated that in contrast t o the symmetric case the gauge parameter of the antisymmetric massless held is also a massless field.