On the spectrum of AdS/CFT beyond supergravity

Beisert, Niklas; Bianchi, Massimo; Morales, Jose F.; Samtleben, Henning

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On the spectrum of AdS/CFT beyond supergravity

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Beisert, Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beisert, N., Bianchi, M., Morales, J. F., & Samtleben, H. (2004). On the spectrum of AdS/CFT beyond supergravity. Journal of High Energy Physics, 2004(2): 001.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-50C9-C

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 sitations 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.