AdS Virasoro-Shapiro from dispersive sum rules
Abstract We consider the four-point correlator of the stress-energy tensor in N $$ \mathcal{N} $$ = 4 SYM, to leading order in inverse powers of the central charge, but including all order corrections in 1/λ. This corresponds to the AdS version of the Virasoro-Shapiro amplitude to all orders in the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2022)036 |
| _version_ | 1797996040276672512 |
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| author | Luis F. Alday Tobias Hansen Joao A. Silva |
| author_facet | Luis F. Alday Tobias Hansen Joao A. Silva |
| author_sort | Luis F. Alday |
| collection | DOAJ |
| description | Abstract We consider the four-point correlator of the stress-energy tensor in N $$ \mathcal{N} $$ = 4 SYM, to leading order in inverse powers of the central charge, but including all order corrections in 1/λ. This corresponds to the AdS version of the Virasoro-Shapiro amplitude to all orders in the small α′/low energy expansion. Using dispersion relations in Mellin space, we derive an infinite set of sum rules. These sum rules strongly constrain the form of the amplitude, and determine all coefficients in the low energy expansion in terms of the CFT data for heavy string operators, in principle available from integrability. For the first set of corrections to the flat space amplitude we find a unique solution consistent with the results from integrability and localisation. |
| first_indexed | 2024-04-11T10:11:09Z |
| format | Article |
| id | doaj.art-d39c850c03e84cd09973465249413a40 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T10:11:09Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d39c850c03e84cd09973465249413a402022-12-22T04:30:06ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221013110.1007/JHEP10(2022)036AdS Virasoro-Shapiro from dispersive sum rulesLuis F. Alday0Tobias Hansen1Joao A. Silva2Mathematical Institute, University of OxfordMathematical Institute, University of OxfordMathematical Institute, University of OxfordAbstract We consider the four-point correlator of the stress-energy tensor in N $$ \mathcal{N} $$ = 4 SYM, to leading order in inverse powers of the central charge, but including all order corrections in 1/λ. This corresponds to the AdS version of the Virasoro-Shapiro amplitude to all orders in the small α′/low energy expansion. Using dispersion relations in Mellin space, we derive an infinite set of sum rules. These sum rules strongly constrain the form of the amplitude, and determine all coefficients in the low energy expansion in terms of the CFT data for heavy string operators, in principle available from integrability. For the first set of corrections to the flat space amplitude we find a unique solution consistent with the results from integrability and localisation.https://doi.org/10.1007/JHEP10(2022)036AdS-CFT CorrespondenceScale and Conformal Symmetries |
| spellingShingle | Luis F. Alday Tobias Hansen Joao A. Silva AdS Virasoro-Shapiro from dispersive sum rules Journal of High Energy Physics AdS-CFT Correspondence Scale and Conformal Symmetries |
| title | AdS Virasoro-Shapiro from dispersive sum rules |
| title_full | AdS Virasoro-Shapiro from dispersive sum rules |
| title_fullStr | AdS Virasoro-Shapiro from dispersive sum rules |
| title_full_unstemmed | AdS Virasoro-Shapiro from dispersive sum rules |
| title_short | AdS Virasoro-Shapiro from dispersive sum rules |
| title_sort | ads virasoro shapiro from dispersive sum rules |
| topic | AdS-CFT Correspondence Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP10(2022)036 |
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