Defect conformal blocks from Appell functions
Abstract We develop a group theoretical formalism to study correlation functions in defect conformal field theory, with multiple insertions of bulk and defect fields. This formalism is applied to construct the defect conformal blocks for three-point functions of scalar fields. Starting from a config...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2021)007 |
| _version_ | 1818600404942848000 |
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| author | Ilija Burić Volker Schomerus |
| author_facet | Ilija Burić Volker Schomerus |
| author_sort | Ilija Burić |
| collection | DOAJ |
| description | Abstract We develop a group theoretical formalism to study correlation functions in defect conformal field theory, with multiple insertions of bulk and defect fields. This formalism is applied to construct the defect conformal blocks for three-point functions of scalar fields. Starting from a configuration with one bulk and one defect field, for which the correlation function is determined by conformal symmetry, we explore two possibilities, adding either one additional defect or bulk field. In both cases it is possible to express the blocks in terms of classical hypergeometric functions, though the case of two bulk and one defect field requires Appell’s function F 4. |
| first_indexed | 2024-12-16T12:34:57Z |
| format | Article |
| id | doaj.art-ea0d24ebd7664640add8d9a7f7109e73 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T12:34:57Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ea0d24ebd7664640add8d9a7f7109e732022-12-21T22:31:37ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021513610.1007/JHEP05(2021)007Defect conformal blocks from Appell functionsIlija Burić0Volker Schomerus1DESYDESYAbstract We develop a group theoretical formalism to study correlation functions in defect conformal field theory, with multiple insertions of bulk and defect fields. This formalism is applied to construct the defect conformal blocks for three-point functions of scalar fields. Starting from a configuration with one bulk and one defect field, for which the correlation function is determined by conformal symmetry, we explore two possibilities, adding either one additional defect or bulk field. In both cases it is possible to express the blocks in terms of classical hypergeometric functions, though the case of two bulk and one defect field requires Appell’s function F 4.https://doi.org/10.1007/JHEP05(2021)007Conformal Field TheorySpace-Time SymmetriesGlobal SymmetriesWilson’t Hooft and Polyakov loops |
| spellingShingle | Ilija Burić Volker Schomerus Defect conformal blocks from Appell functions Journal of High Energy Physics Conformal Field Theory Space-Time Symmetries Global Symmetries Wilson ’t Hooft and Polyakov loops |
| title | Defect conformal blocks from Appell functions |
| title_full | Defect conformal blocks from Appell functions |
| title_fullStr | Defect conformal blocks from Appell functions |
| title_full_unstemmed | Defect conformal blocks from Appell functions |
| title_short | Defect conformal blocks from Appell functions |
| title_sort | defect conformal blocks from appell functions |
| topic | Conformal Field Theory Space-Time Symmetries Global Symmetries Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP05(2021)007 |
| work_keys_str_mv | AT ilijaburic defectconformalblocksfromappellfunctions AT volkerschomerus defectconformalblocksfromappellfunctions |