The AdS Virasoro-Shapiro amplitude
<p>We present a constructive method to compute the AdS Virasoro-Shapiro amplitude, order by order in AdS curvature corrections. At <em>k</em><sup>th</sup> order the answer takes the form of a genus zero world-sheet integral involving weight 3<em>...
| Główni autorzy: | , |
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| Format: | Journal article |
| Język: | English |
| Wydane: |
Springer
2023
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| _version_ | 1826311793158389760 |
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| author | Alday, LF Hansen, T |
| author_facet | Alday, LF Hansen, T |
| author_sort | Alday, LF |
| collection | OXFORD |
| description | <p>We present a constructive method to compute the AdS Virasoro-Shapiro amplitude, order by order in AdS curvature corrections. At <em>k</em><sup>th</sup> order the answer takes the form of a genus zero world-sheet integral involving weight 3<em>k</em> single-valued multiple polylogarithms. The coefficients in our ansatz are fixed, order by order, by requiring: crossing symmetry; the correct supergravity limit; the correct structure of poles, determined by dispersive sum rules; and the dimensions of the first few Konishi-like operators, available from integrability. We explicitly construct the first two curvature corrections. Our final answer then reproduces all localisation results and all CFT data available from integrability, to this order, and produces a wealth of new CFT data for planar <em>N</em> = 4 SYM at strong coupling.</p> |
| first_indexed | 2024-03-07T08:16:29Z |
| format | Journal article |
| id | oxford-uuid:fe5fa424-7340-41f6-a37e-4bbd78c3835c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:16:29Z |
| publishDate | 2023 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:fe5fa424-7340-41f6-a37e-4bbd78c3835c2023-12-22T06:31:29ZThe AdS Virasoro-Shapiro amplitudeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fe5fa424-7340-41f6-a37e-4bbd78c3835cEnglishSymplectic ElementsSpringer2023Alday, LFHansen, T<p>We present a constructive method to compute the AdS Virasoro-Shapiro amplitude, order by order in AdS curvature corrections. At <em>k</em><sup>th</sup> order the answer takes the form of a genus zero world-sheet integral involving weight 3<em>k</em> single-valued multiple polylogarithms. The coefficients in our ansatz are fixed, order by order, by requiring: crossing symmetry; the correct supergravity limit; the correct structure of poles, determined by dispersive sum rules; and the dimensions of the first few Konishi-like operators, available from integrability. We explicitly construct the first two curvature corrections. Our final answer then reproduces all localisation results and all CFT data available from integrability, to this order, and produces a wealth of new CFT data for planar <em>N</em> = 4 SYM at strong coupling.</p> |
| spellingShingle | Alday, LF Hansen, T The AdS Virasoro-Shapiro amplitude |
| title | The AdS Virasoro-Shapiro amplitude |
| title_full | The AdS Virasoro-Shapiro amplitude |
| title_fullStr | The AdS Virasoro-Shapiro amplitude |
| title_full_unstemmed | The AdS Virasoro-Shapiro amplitude |
| title_short | The AdS Virasoro-Shapiro amplitude |
| title_sort | ads virasoro shapiro amplitude |
| work_keys_str_mv | AT aldaylf theadsvirasoroshapiroamplitude AT hansent theadsvirasoroshapiroamplitude AT aldaylf adsvirasoroshapiroamplitude AT hansent adsvirasoroshapiroamplitude |