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

Abstract

The authors construct the unique unitary supermultiplet of N=8 conformal superalgebra SU(2,2/8) in d=4 which involves fields of spins s<or=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=5 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 they expect the resulting theory to be different from the standard conformal supergravity theories.