Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams
Abstract We find a holographic reconstruction formula for gravitational Wilson line network operators in AdS2 evaluated between Ishibashi states of the algebra sl(2, ℝ). It is given in integral form where the integrand is the global conformal block multiplied by a smearing function which is the prod...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)265 |
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| author | Konstantin Alkalaev Vladimir Khiteev |
| author_facet | Konstantin Alkalaev Vladimir Khiteev |
| author_sort | Konstantin Alkalaev |
| collection | DOAJ |
| description | Abstract We find a holographic reconstruction formula for gravitational Wilson line network operators in AdS2 evaluated between Ishibashi states of the algebra sl(2, ℝ). It is given in integral form where the integrand is the global conformal block multiplied by a smearing function which is the product of the scalar bulk-to-boundary propagators. The integral can be explicitly calculated as multidimensional series of which arguments are rational functions of endpoint coordinates. In the case of two and three endpoints the resulting expressions allow one to establish a number of relations between the gravitational Wilson line networks and Witten diagrams for massive scalar fields in AdS2. |
| format | Article |
| id | doaj-art-e16185e85b0f4692853430075a3f82e9 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e16185e85b0f4692853430075a3f82e92025-08-20T03:45:44ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025714710.1007/JHEP07(2025)265Holographic reconstruction for AdS Wilson line networks and scalar Witten diagramsKonstantin Alkalaev0Vladimir Khiteev1I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteI.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteAbstract We find a holographic reconstruction formula for gravitational Wilson line network operators in AdS2 evaluated between Ishibashi states of the algebra sl(2, ℝ). It is given in integral form where the integrand is the global conformal block multiplied by a smearing function which is the product of the scalar bulk-to-boundary propagators. The integral can be explicitly calculated as multidimensional series of which arguments are rational functions of endpoint coordinates. In the case of two and three endpoints the resulting expressions allow one to establish a number of relations between the gravitational Wilson line networks and Witten diagrams for massive scalar fields in AdS2.https://doi.org/10.1007/JHEP07(2025)2652D GravityAdS-CFT CorrespondenceField Theories in Lower DimensionsChern-Simons Theories |
| spellingShingle | Konstantin Alkalaev Vladimir Khiteev Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence Field Theories in Lower Dimensions Chern-Simons Theories |
| title | Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams |
| title_full | Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams |
| title_fullStr | Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams |
| title_full_unstemmed | Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams |
| title_short | Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams |
| title_sort | holographic reconstruction for ads wilson line networks and scalar witten diagrams |
| topic | 2D Gravity AdS-CFT Correspondence Field Theories in Lower Dimensions Chern-Simons Theories |
| url | https://doi.org/10.1007/JHEP07(2025)265 |
| work_keys_str_mv | AT konstantinalkalaev holographicreconstructionforadswilsonlinenetworksandscalarwittendiagrams AT vladimirkhiteev holographicreconstructionforadswilsonlinenetworksandscalarwittendiagrams |