Conformal blocks and bilocal vertex operator transition amplitudes
Abstract We revisit the construction of the 2d conformal blocks of primary operator four-point functions as bilocal vertex operator correlators. We find an additional interpretation as a path integral over the reparametrizations of an intermediate cylinder. As a consequence we bridge the gap between...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2022)238 |
| _version_ | 1811188742715604992 |
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| author | Gideon Vos |
| author_facet | Gideon Vos |
| author_sort | Gideon Vos |
| collection | DOAJ |
| description | Abstract We revisit the construction of the 2d conformal blocks of primary operator four-point functions as bilocal vertex operator correlators. We find an additional interpretation as a path integral over the reparametrizations of an intermediate cylinder. As a consequence we bridge the gap between the Kähler quantization of virasoro coadjoint orbits, SL(2, ℝ) Chern-Simons theory and the reparametrization formalism of 2d CFT that has made an appearance in recent literature. |
| first_indexed | 2024-04-11T14:24:47Z |
| format | Article |
| id | doaj.art-aefebf271eab44a586064a763311e5a9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T14:24:47Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-aefebf271eab44a586064a763311e5a92022-12-22T04:18:55ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022811910.1007/JHEP08(2022)238Conformal blocks and bilocal vertex operator transition amplitudesGideon Vos0Central European Institute for Cosmology, FZU — Institute of Physics of the Czech Academy of SciencesAbstract We revisit the construction of the 2d conformal blocks of primary operator four-point functions as bilocal vertex operator correlators. We find an additional interpretation as a path integral over the reparametrizations of an intermediate cylinder. As a consequence we bridge the gap between the Kähler quantization of virasoro coadjoint orbits, SL(2, ℝ) Chern-Simons theory and the reparametrization formalism of 2d CFT that has made an appearance in recent literature.https://doi.org/10.1007/JHEP08(2022)238AdS-CFT CorrespondenceScale and Conformal Symmetries |
| spellingShingle | Gideon Vos Conformal blocks and bilocal vertex operator transition amplitudes Journal of High Energy Physics AdS-CFT Correspondence Scale and Conformal Symmetries |
| title | Conformal blocks and bilocal vertex operator transition amplitudes |
| title_full | Conformal blocks and bilocal vertex operator transition amplitudes |
| title_fullStr | Conformal blocks and bilocal vertex operator transition amplitudes |
| title_full_unstemmed | Conformal blocks and bilocal vertex operator transition amplitudes |
| title_short | Conformal blocks and bilocal vertex operator transition amplitudes |
| title_sort | conformal blocks and bilocal vertex operator transition amplitudes |
| topic | AdS-CFT Correspondence Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP08(2022)238 |
| work_keys_str_mv | AT gideonvos conformalblocksandbilocalvertexoperatortransitionamplitudes |