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String corrections to AdS amplitudes and the double-trace spectrum of N = 4 SYM

String corrections to AdS amplitudes and the double-trace spectrum of N = 4 SYM
String corrections to AdS amplitudes and the double-trace spectrum of N = 4 SYM

We consider α′ corrections to four-point correlators of half-BPS operators in N = 4 super Yang-Mills theory in the supergravity limit. By demanding the correct behaviour in the flat space limit, we find that the leading (α′)3 correction to the Mellin amplitude is fixed for arbitrary charges of the external operators. By considering the mixing of double-trace operators we can find the (α′)3 corrections to the double-trace spectrum which we give explicitly for su (4)-singlet operators. We observe striking patterns in the corrections to the spectra which hint at their common ten-dimensional origin. By extending the observed patterns and imposing them at order (α′)5 we are able to reproduce the recently found result for the correction to the Mellin amplitude for 〈 O2O2OpOp〉 correlators. By applying a similar logic to the [0, 1, 0] channel of su(4) we are able to deduce new results for the correlators of the form 〈 O2O3Op− 1 Op〉.

AdS-CFT Correspondence, Conformal Field Theory, Supersymmetric Gauge, Theory, 1/N Expansion
1126-6708
Drummond, J. M.
3ea15544-457f-4e72-8ad0-60f3136841db
Nandan, D.
bab009ef-4878-4ec6-8bba-cb998c20c5c8
Paul, H.
4f7ce88c-6890-4341-a126-f5a53329be63
Rigatos, K. S.S.
858cbc5d-9583-41f3-be90-449c2530840e
Drummond, J. M.
3ea15544-457f-4e72-8ad0-60f3136841db
Nandan, D.
bab009ef-4878-4ec6-8bba-cb998c20c5c8
Paul, H.
4f7ce88c-6890-4341-a126-f5a53329be63
Rigatos, K. S.S.
858cbc5d-9583-41f3-be90-449c2530840e

Drummond, J. M., Nandan, D., Paul, H. and Rigatos, K. S.S. (2019) String corrections to AdS amplitudes and the double-trace spectrum of N = 4 SYM. Journal of High Energy Physics, 2019 (12), [173]. (doi:10.1007/JHEP12(2019)173).

Record type: Article

Abstract

We consider α′ corrections to four-point correlators of half-BPS operators in N = 4 super Yang-Mills theory in the supergravity limit. By demanding the correct behaviour in the flat space limit, we find that the leading (α′)3 correction to the Mellin amplitude is fixed for arbitrary charges of the external operators. By considering the mixing of double-trace operators we can find the (α′)3 corrections to the double-trace spectrum which we give explicitly for su (4)-singlet operators. We observe striking patterns in the corrections to the spectra which hint at their common ten-dimensional origin. By extending the observed patterns and imposing them at order (α′)5 we are able to reproduce the recently found result for the correction to the Mellin amplitude for 〈 O2O2OpOp〉 correlators. By applying a similar logic to the [0, 1, 0] channel of su(4) we are able to deduce new results for the correlators of the form 〈 O2O3Op− 1 Op〉.

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Accepted/In Press date: 9 December 2019
e-pub ahead of print date: 30 December 2019
Published date: December 2019
Keywords: AdS-CFT Correspondence, Conformal Field Theory, Supersymmetric Gauge, Theory, 1/N Expansion

Identifiers

Local EPrints ID: 437179
URI: http://eprints.soton.ac.uk/id/eprint/437179
ISSN: 1126-6708
PURE UUID: 575be162-e8f9-440b-8c1e-52c701bec771
ORCID for H. Paul: ORCID iD orcid.org/0000-0002-2202-7971

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Date deposited: 21 Jan 2020 17:32
Last modified: 18 Feb 2021 17:30

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