Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
Abstract We study the 2D symmetric orbifold CFT of two copies of free bosons. The twist operator can join the two separated copies in the untwisted sector into a joined copy in the twisted sector. Starting with a state with any number of quanta in the untwisted sector, the state in the twisted secto...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)184 |
| _version_ | 1797779069839867904 |
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| author | Bin Guo Shaun D. Hampton |
| author_facet | Bin Guo Shaun D. Hampton |
| author_sort | Bin Guo |
| collection | DOAJ |
| description | Abstract We study the 2D symmetric orbifold CFT of two copies of free bosons. The twist operator can join the two separated copies in the untwisted sector into a joined copy in the twisted sector. Starting with a state with any number of quanta in the untwisted sector, the state in the twisted sector obtained by the action of the twist operator can be computed by using the covering map method. We develop a new method to compute the effect of a twist operator by using the Bogoliubov ansatz and conformal symmetry. This may lead to more efficient tools to compute correlation functions involving twist operators. |
| first_indexed | 2024-03-12T23:26:25Z |
| format | Article |
| id | doaj.art-a5db1f035751410fa19706eb28eb520d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:26:25Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a5db1f035751410fa19706eb28eb520d2023-07-16T11:07:49ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023213010.1007/JHEP02(2023)184Bootstrapping the effect of the twist operator in symmetric orbifold CFTsBin Guo0Shaun D. Hampton1Institut de Physique Théorique, Université Paris-Saclay, CNRS, CEAInstitut de Physique Théorique, Université Paris-Saclay, CNRS, CEAAbstract We study the 2D symmetric orbifold CFT of two copies of free bosons. The twist operator can join the two separated copies in the untwisted sector into a joined copy in the twisted sector. Starting with a state with any number of quanta in the untwisted sector, the state in the twisted sector obtained by the action of the twist operator can be computed by using the covering map method. We develop a new method to compute the effect of a twist operator by using the Bogoliubov ansatz and conformal symmetry. This may lead to more efficient tools to compute correlation functions involving twist operators.https://doi.org/10.1007/JHEP02(2023)184Field Theories in Lower DimensionsScale and Conformal Symmetries |
| spellingShingle | Bin Guo Shaun D. Hampton Bootstrapping the effect of the twist operator in symmetric orbifold CFTs Journal of High Energy Physics Field Theories in Lower Dimensions Scale and Conformal Symmetries |
| title | Bootstrapping the effect of the twist operator in symmetric orbifold CFTs |
| title_full | Bootstrapping the effect of the twist operator in symmetric orbifold CFTs |
| title_fullStr | Bootstrapping the effect of the twist operator in symmetric orbifold CFTs |
| title_full_unstemmed | Bootstrapping the effect of the twist operator in symmetric orbifold CFTs |
| title_short | Bootstrapping the effect of the twist operator in symmetric orbifold CFTs |
| title_sort | bootstrapping the effect of the twist operator in symmetric orbifold cfts |
| topic | Field Theories in Lower Dimensions Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP02(2023)184 |
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