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

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

doi:10.1103/physrevd.98.126008

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

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

Authors

Francesco Aprile

James Drummond

Professor Paul Heslop paul.heslop@durham.ac.uk
Professor

Hynek Paul

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
Related Public URLs	http://arxiv.org/pdf/1802.06889.pdf

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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.