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On the spectrum of AdS/CFT beyond supergravity

N. Beisert·M. Bianchi·J. F. Morales·H. Samtleben
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Abstract

We test the spectrum of string theory on AdS_5 x S^5 derived in hep-th/0305052 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 Δup to Δ=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.

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N. Beisert, M. Bianchi, J. F. Morales, H. Samtleben. 2003-10-31. On the spectrum of AdS/CFT beyond supergravity. https://doi.org/10.1088/1126-6708%2F2004%2F02%2F001

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