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

Aprile, Francesco; Drummond, James; Heslop, Paul; Paul, Hynek

Abstract

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.

Citation

Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2018). Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling. Physical Review D, 98(12), Article 126008. https://doi.org/10.1103/physrevd.98.126008

• Journal Article Type: Article
• Online Publication Date: Dec 17, 2018
• Publication Date: Dec 17, 2018
• Deposit Date: Jan 2, 2019
• Publicly Available Date: Jan 2, 2019
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 98
• Issue: 12
• Article Number: 126008
• DOI: https://doi.org/10.1103/physrevd.98.126008
• Public URL: https://durham-repository.worktribe.com/output/1340798
• Related Public URLs: http://arxiv.org/pdf/1802.06889.pdf