The unitary supermultiplet of N = 8 conformal superalgebra involving fields of spin <=2

The authors construct the unique unitary supermultiplets of N = 8 conformal superalgebra SU(2,2/8) in d = 4 which involves fields of spin s <=2. There exists a one-to-one correspondence between the fields of the N = 8 conformal supermultiplet and those of the N = 8 Poincare supergravity. The N = 4 analogue of this supermultiplet is that of N = 4 Yang-Mills theory which is conformally invariant. If this N = 8 conformal supermultiplet can be used to construct a super-conformally invariant theory then it is expected that the resulting theory to be different from the standard conformal supergravity theories. (author)