On the spectrum of AdS/CFT beyond supergravity

We test the spectrum of string theory on AdS(5) x S-5 derived in [1] against that of single-trace gauge invariant operators in free N = 4 super Yang-Mills theory. Masses of string excitations at critical tension are derived by extrapolating plane-wave frequencies at g(YM) = 0 down to finite J. On the SYM side, we present a systematic description of the spectrum of single-trace operators and its reduction to PSU(2, 2\4) superconformal primaries via a refined Eratostenes' supersieve. We perform the comparison of the resulting SYM/string spectra of charges and multiplicities order by order in the conformal dimension Delta up to Delta = 10 and find perfect agreement. Interestingly, the SYM/string massive spectrum exhibits a hidden symmetry structure larger than expected, with bosonic subgroup SO (10, 2) and thirty-two supercharges.