Loop corrections for Kaluza-Klein AdS amplitudes
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 $$ \mathcal{N} $$ = 4 super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein modes, obtaining the am...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2018)056 |
| _version_ | 1818907522297233408 |
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| author | F. Aprile J. M. Drummond P. Heslop H. Paul |
| author_facet | F. Aprile J. M. Drummond P. Heslop H. Paul |
| author_sort | F. Aprile |
| collection | DOAJ |
| description | 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 $$ \mathcal{N} $$ = 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. |
| first_indexed | 2024-12-19T21:56:27Z |
| format | Article |
| id | doaj.art-5c368742189c47bd92f77456f0726cf3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T21:56:27Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5c368742189c47bd92f77456f0726cf32022-12-21T20:04:16ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018513510.1007/JHEP05(2018)056Loop corrections for Kaluza-Klein AdS amplitudesF. Aprile0J. M. Drummond1P. Heslop2H. Paul3Dipartimento di Fisica, Università di Milano-Bicocca & INFN, Sezione di Milano-BicoccaSchool of Physics and Astronomy and STAG Research Centre, University of SouthamptonMathematics Department, Durham University, Science LaboratoriesSchool of Physics and Astronomy and STAG Research Centre, University of SouthamptonAbstract Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of N $$ \mathcal{N} $$ = 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.http://link.springer.com/article/10.1007/JHEP05(2018)0561/N ExpansionAdS-CFT CorrespondenceConformal Field TheorySupersymmetric Gauge Theory |
| spellingShingle | F. Aprile J. M. Drummond P. Heslop H. Paul Loop corrections for Kaluza-Klein AdS amplitudes Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Conformal Field Theory Supersymmetric Gauge Theory |
| title | Loop corrections for Kaluza-Klein AdS amplitudes |
| title_full | Loop corrections for Kaluza-Klein AdS amplitudes |
| title_fullStr | Loop corrections for Kaluza-Klein AdS amplitudes |
| title_full_unstemmed | Loop corrections for Kaluza-Klein AdS amplitudes |
| title_short | Loop corrections for Kaluza-Klein AdS amplitudes |
| title_sort | loop corrections for kaluza klein ads amplitudes |
| topic | 1/N Expansion AdS-CFT Correspondence Conformal Field Theory Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP05(2018)056 |
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