Loop corrections for Kaluza-Klein AdS amplitudes
Loop corrections for Kaluza-Klein AdS amplitudes
Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of N = 4 super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein modes, obtaining the amplitude for two graviton multiplets and two states of the first KK mode. Our method again relies on resolving the large N degeneracy among a family of long double-trace operators, for which we obtain explicit formulas for the leading anomalous dimensions. Having constructed the one-loop amplitude we are able to obtain a formula for the one-loop corrections to the anomalous dimensions of all twist five double-trace operators.
1/N Expansion, AdS-CFT Correspondence, Conformal Field Theory, Supersymmetric Gauge Theory
Aprile, F.
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Drummond, J.M.
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Heslop, P.
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Paul, H.
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May 2018
Aprile, F.
4e76060f-f02b-461d-acdf-162efebd9a49
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Heslop, P.
20769a63-074d-48eb-a1c3-a29ebe76ba19
Paul, H.
4f7ce88c-6890-4341-a126-f5a53329be63
Aprile, F., Drummond, J.M., Heslop, P. and Paul, H.
(2018)
Loop corrections for Kaluza-Klein AdS amplitudes.
Journal of High Energy Physics, 2018 (5), [56].
(doi:10.1007/JHEP05(2018)056).
Abstract
Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of N = 4 super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein modes, obtaining the amplitude for two graviton multiplets and two states of the first KK mode. Our method again relies on resolving the large N degeneracy among a family of long double-trace operators, for which we obtain explicit formulas for the leading anomalous dimensions. Having constructed the one-loop amplitude we are able to obtain a formula for the one-loop corrections to the anomalous dimensions of all twist five double-trace operators.
Text
10.1007%2FJHEP05(2018)056
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More information
Accepted/In Press date: 19 April 2018
e-pub ahead of print date: 9 May 2018
Published date: May 2018
Keywords:
1/N Expansion, AdS-CFT Correspondence, Conformal Field Theory, Supersymmetric Gauge Theory
Identifiers
Local EPrints ID: 421256
URI: http://eprints.soton.ac.uk/id/eprint/421256
ISSN: 1126-6708
PURE UUID: c71658fb-e127-4997-90d4-b0dd20f58e34
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Date deposited: 29 May 2018 16:30
Last modified: 17 Mar 2024 12:05
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Author:
F. Aprile
Author:
P. Heslop
Author:
H. Paul
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