Revisiting instanton corrections to the Konishi multiplet
We revisit the calculation of instanton effects in correlation functions in N= 4 SYM involving the Konishi operator and operators of twist two. Previous studies revealed that the scaling dimensions and the OPE coefficients of these operators do not receive instanton corrections in the semiclassical...
| Main Authors: | , |
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| Format: | Journal article |
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Springer Berlin Heidelberg
2016
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| _version_ | 1797104249246580736 |
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| author | Alday, L Korchemsky, G |
| author_facet | Alday, L Korchemsky, G |
| author_sort | Alday, L |
| collection | OXFORD |
| description | We revisit the calculation of instanton effects in correlation functions in N= 4 SYM involving the Konishi operator and operators of twist two. Previous studies revealed that the scaling dimensions and the OPE coefficients of these operators do not receive instanton corrections in the semiclassical approximation. We go beyond this approximation and demonstrate that, while operators belonging to the same N= 4 supermultiplet ought to have the same conformal data, the evaluation of quantum instanton corrections for one operator can be mapped into a semiclassical computation for another operator in the same supermultiplet. This observation allows us to compute explicitly the leading instanton correction to the scaling dimension of operators in the Konishi supermultiplet as well as to their structure constants in the OPE of two half-BPS scalar operators. We then use these results, together with crossing symmetry, to determine instanton corrections to scaling dimensions of twist-four operators with large spin. |
| first_indexed | 2024-03-07T06:31:14Z |
| format | Journal article |
| id | oxford-uuid:f60ec590-c201-471c-8e55-04af7f22a2d9 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:31:14Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:f60ec590-c201-471c-8e55-04af7f22a2d92022-03-27T12:32:06ZRevisiting instanton corrections to the Konishi multipletJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f60ec590-c201-471c-8e55-04af7f22a2d9Symplectic Elements at OxfordSpringer Berlin Heidelberg2016Alday, LKorchemsky, GWe revisit the calculation of instanton effects in correlation functions in N= 4 SYM involving the Konishi operator and operators of twist two. Previous studies revealed that the scaling dimensions and the OPE coefficients of these operators do not receive instanton corrections in the semiclassical approximation. We go beyond this approximation and demonstrate that, while operators belonging to the same N= 4 supermultiplet ought to have the same conformal data, the evaluation of quantum instanton corrections for one operator can be mapped into a semiclassical computation for another operator in the same supermultiplet. This observation allows us to compute explicitly the leading instanton correction to the scaling dimension of operators in the Konishi supermultiplet as well as to their structure constants in the OPE of two half-BPS scalar operators. We then use these results, together with crossing symmetry, to determine instanton corrections to scaling dimensions of twist-four operators with large spin. |
| spellingShingle | Alday, L Korchemsky, G Revisiting instanton corrections to the Konishi multiplet |
| title | Revisiting instanton corrections to the Konishi multiplet |
| title_full | Revisiting instanton corrections to the Konishi multiplet |
| title_fullStr | Revisiting instanton corrections to the Konishi multiplet |
| title_full_unstemmed | Revisiting instanton corrections to the Konishi multiplet |
| title_short | Revisiting instanton corrections to the Konishi multiplet |
| title_sort | revisiting instanton corrections to the konishi multiplet |
| work_keys_str_mv | AT aldayl revisitinginstantoncorrectionstothekonishimultiplet AT korchemskyg revisitinginstantoncorrectionstothekonishimultiplet |