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arXiv · 1802.06889

The double-trace spectrum of N=4 SYM at strong coupling

F. Aprile·J. M. Drummond·P. Heslop·H. Paul
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Abstract

The spectrum of IIB supergravity on AdS${}_5 \times S^5$ contains a number of bound states described by long double-trace multiplets in $\mathcal{N}=4$ super Yang-Mills theory at large 't Hooft coupling. At large $N$ these states are degenerate and to obtain their anomalous dimensions as expansions in $\tfrac{1}{N^2}$ one has to solve a mixing problem. We conjecture a formula for the leading anomalous dimensions of all long double-trace operators which exhibits a large residual degeneracy whose structure we describe. Our formula can be related to conformal Casimir operators which arise in the structure of leading discontinuities of supergravity loop corrections to four-point correlators of half-BPS operators.

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F. Aprile, J. M. Drummond, P. Heslop, H. Paul. 2018-02-27. The double-trace spectrum of N=4 SYM at strong coupling. https://doi.org/10.1103/physrevd.98.126008

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