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Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling.

Aprile, Francesco and Drummond, James and Heslop, Paul and Paul, Hynek (2018) 'Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling.', Physical review D., 98 (12). p. 126008.


The spectrum of IIB supergravity on AdS5 × S5 contains a number of bound states described by long double-trace multiplets in N ¼ 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 1 N2 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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Publisher statement:Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Date accepted:No date available
Date deposited:02 January 2019
Date of first online publication:17 December 2018
Date first made open access:02 January 2019

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