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

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

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.

2470-0010
Aprile, Francesco
4e76060f-f02b-461d-acdf-162efebd9a49
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Heslop, Paul
20769a63-074d-48eb-a1c3-a29ebe76ba19
Paul, Hynek
4f7ce88c-6890-4341-a126-f5a53329be63
Aprile, Francesco
4e76060f-f02b-461d-acdf-162efebd9a49
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Heslop, Paul
20769a63-074d-48eb-a1c3-a29ebe76ba19
Paul, Hynek
4f7ce88c-6890-4341-a126-f5a53329be63

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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Published date: 17 December 2018

Identifiers

Local EPrints ID: 427488
URI: http://eprints.soton.ac.uk/id/eprint/427488
ISSN: 2470-0010
PURE UUID: d11bad8e-7cfe-4bf0-a030-95c4f9cf56ec
ORCID for Hynek Paul: ORCID iD orcid.org/0000-0002-2202-7971

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Date deposited: 21 Jan 2019 17:30
Last modified: 25 Nov 2021 23:17

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Contributors

Author: Francesco Aprile
Author: James Drummond
Author: Paul Heslop
Author: Hynek Paul ORCID iD

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