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Loop corrections for Kaluza-Klein AdS amplitudes

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
1126-6708
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.
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. The Journal of High Energy Physics, 2018 (5). (doi:10.1007/JHEP05(2018)056).

Record type: Article

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.

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10.1007%2FJHEP05(2018)056 - Version of Record
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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: https://eprints.soton.ac.uk/id/eprint/421256
ISSN: 1126-6708
PURE UUID: c71658fb-e127-4997-90d4-b0dd20f58e34

Catalogue record

Date deposited: 29 May 2018 16:30
Last modified: 13 Mar 2019 18:27

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