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

Aprile, Francesco, Drummond, James, Heslop, Paul and Paul, Hynek (2018) Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling. Physical Review D, 98 (12), [126008]. (doi:10.1103/PhysRevD.98.126008).

Record type: Article

Abstract

The spectrum of IIB supergravity on AdS5×S5 contains a number of bound states described by long double-trace multiplets in 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 1N2 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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