Spinning hexagons
Abstract We reduce the computation of three point function of three spinning operators with arbitrary polarizations in 𝒩 = 4 SYM to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the hexagon partition function. We explore its a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)228 |
| _version_ | 1811253713865539584 |
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| author | Carlos Bercini Vasco Gonçalves Alexandre Homrich Pedro Vieira |
| author_facet | Carlos Bercini Vasco Gonçalves Alexandre Homrich Pedro Vieira |
| author_sort | Carlos Bercini |
| collection | DOAJ |
| description | Abstract We reduce the computation of three point function of three spinning operators with arbitrary polarizations in 𝒩 = 4 SYM to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the hexagon partition function. We explore its analytic structure and use it to generate perturbative data for spinning three point functions. For certain polarizations and any coupling, we express the full asymptotic three point function in determinant form. With the integrability approach established we open the ground to study the large spin limit where dualities with null Wilson loops and integrable pentagons must appear. |
| first_indexed | 2024-04-12T16:55:12Z |
| format | Article |
| id | doaj.art-f96b48df90654c5eac02f4004424ea3b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T16:55:12Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f96b48df90654c5eac02f4004424ea3b2022-12-22T03:24:16ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022913810.1007/JHEP09(2022)228Spinning hexagonsCarlos Bercini0Vasco Gonçalves1Alexandre Homrich2Pedro Vieira3ICTP South American Institute for Fundamental Research, IFT-UNESPICTP South American Institute for Fundamental Research, IFT-UNESPPerimeter Institute for Theoretical PhysicsICTP South American Institute for Fundamental Research, IFT-UNESPAbstract We reduce the computation of three point function of three spinning operators with arbitrary polarizations in 𝒩 = 4 SYM to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the hexagon partition function. We explore its analytic structure and use it to generate perturbative data for spinning three point functions. For certain polarizations and any coupling, we express the full asymptotic three point function in determinant form. With the integrability approach established we open the ground to study the large spin limit where dualities with null Wilson loops and integrable pentagons must appear.https://doi.org/10.1007/JHEP09(2022)228AdS-CFT CorrespondenceIntegrable Field TheoriesSupersymmetric Gauge Theory |
| spellingShingle | Carlos Bercini Vasco Gonçalves Alexandre Homrich Pedro Vieira Spinning hexagons Journal of High Energy Physics AdS-CFT Correspondence Integrable Field Theories Supersymmetric Gauge Theory |
| title | Spinning hexagons |
| title_full | Spinning hexagons |
| title_fullStr | Spinning hexagons |
| title_full_unstemmed | Spinning hexagons |
| title_short | Spinning hexagons |
| title_sort | spinning hexagons |
| topic | AdS-CFT Correspondence Integrable Field Theories Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP09(2022)228 |
| work_keys_str_mv | AT carlosbercini spinninghexagons AT vascogoncalves spinninghexagons AT alexandrehomrich spinninghexagons AT pedrovieira spinninghexagons |