AdS4/CFT3 for unprotected operators
Abstract We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in N=8 $$ \mathcal{N}=8 $$ ABJ(M) theory [1, 2]. At large central charge c T ∼ N 3/2, this correlator is given by the corresponding holographic correlation function in 11d supergravity on AdS 4 ×...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2018)030 |
| _version_ | 1818966548628373504 |
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| author | Shai M. Chester |
| author_facet | Shai M. Chester |
| author_sort | Shai M. Chester |
| collection | DOAJ |
| description | Abstract We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in N=8 $$ \mathcal{N}=8 $$ ABJ(M) theory [1, 2]. At large central charge c T ∼ N 3/2, this correlator is given by the corresponding holographic correlation function in 11d supergravity on AdS 4 × S 7. We use Mellin space techniques to compute the leading 1/c T correction to anomalous dimensions and OPE coefficients of operators that appear in this holographic correlator. For half and quarter-BPS operators, we find exact agreement with previously computed localization results. For the other BPS and non-BPS operators, our results match the N=8 $$ \mathcal{N}=8 $$ numerical bootstrap for ABJ(M) at large c T , which provides a precise check of unprotected observables in AdS/CFT. |
| first_indexed | 2024-12-20T13:34:39Z |
| format | Article |
| id | doaj.art-e98a185e28a2455a8f232991873d2ce4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T13:34:39Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e98a185e28a2455a8f232991873d2ce42022-12-21T19:38:59ZengSpringerOpenJournal of High Energy Physics1029-84792018-07-012018712210.1007/JHEP07(2018)030AdS4/CFT3 for unprotected operatorsShai M. Chester0Joseph Henry Laboratories, Princeton UniversityAbstract We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in N=8 $$ \mathcal{N}=8 $$ ABJ(M) theory [1, 2]. At large central charge c T ∼ N 3/2, this correlator is given by the corresponding holographic correlation function in 11d supergravity on AdS 4 × S 7. We use Mellin space techniques to compute the leading 1/c T correction to anomalous dimensions and OPE coefficients of operators that appear in this holographic correlator. For half and quarter-BPS operators, we find exact agreement with previously computed localization results. For the other BPS and non-BPS operators, our results match the N=8 $$ \mathcal{N}=8 $$ numerical bootstrap for ABJ(M) at large c T , which provides a precise check of unprotected observables in AdS/CFT.http://link.springer.com/article/10.1007/JHEP07(2018)030AdS-CFT CorrespondenceConformal Field TheoryM-Theory |
| spellingShingle | Shai M. Chester AdS4/CFT3 for unprotected operators Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory M-Theory |
| title | AdS4/CFT3 for unprotected operators |
| title_full | AdS4/CFT3 for unprotected operators |
| title_fullStr | AdS4/CFT3 for unprotected operators |
| title_full_unstemmed | AdS4/CFT3 for unprotected operators |
| title_short | AdS4/CFT3 for unprotected operators |
| title_sort | ads4 cft3 for unprotected operators |
| topic | AdS-CFT Correspondence Conformal Field Theory M-Theory |
| url | http://link.springer.com/article/10.1007/JHEP07(2018)030 |
| work_keys_str_mv | AT shaimchester ads4cft3forunprotectedoperators |