Rr. Metsaev, LOWEST EIGENVALUES OF THE ENERGY OPERATOR FOR TOTALLY (ANTI)SYMMETRICMASSLESS FIELDS OF THE N-DIMENSIONAL ANTI-DESITTER GROUP, Classical and quantum gravity, 11(11), 1994, pp. 120000141-120000145
Free massless bosonic fields of arbitrary spins s > 0 corresponding to
totally (anti)symmetric representations of the SO(n-1) compact subgro
up and living in n-dimensional anti-de Sitter space are investigated.
We propose the free equations of motion, subsidiary conditions and cor
responding gauge transformations for such fields. The equations obtain
ed are used to derive the lowest eigenvalues of the energy operator fo
r the above-mentioned representations, which is the main result of the
letter.