Holographic dual of crosscap conformal field theory
Abstract We propose a holographic dual for 2D CFT defined on closed non-orientable manifolds, such as the real projective plane ℝℙ2 and the Klein bottle 𝕂2. Such CFT can be constructed by introducing antipodally identified cuttings, i.e. crosscaps, to a sphere and hence called crosscap CFT (XCFT). T...
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)086 |
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| author | Zixia Wei |
| author_facet | Zixia Wei |
| author_sort | Zixia Wei |
| collection | DOAJ |
| description | Abstract We propose a holographic dual for 2D CFT defined on closed non-orientable manifolds, such as the real projective plane ℝℙ2 and the Klein bottle 𝕂2. Such CFT can be constructed by introducing antipodally identified cuttings, i.e. crosscaps, to a sphere and hence called crosscap CFT (XCFT). The gravity dual is AdS3 spacetime with dS2 end-of-the-world branes. In particular, the Lorentzian spacetime with a global dS2 brane is dual to the unitary time evolution of a crosscap state in CFT, post-selected on the CFT ground state. We compute the holographic ℝℙ2 partition function (or the p-function), one-point function, and 𝕂2 partition function, and see that they successfully reproduce the XCFT results. We also show a holographic p-theorem as an application. |
| format | Article |
| id | doaj-art-584843d7054d468f8a39b4b026038c95 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-584843d7054d468f8a39b4b026038c952025-08-20T02:17:09ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025311910.1007/JHEP03(2025)086Holographic dual of crosscap conformal field theoryZixia Wei0Jefferson Physical Laboratory, Harvard UniversityAbstract We propose a holographic dual for 2D CFT defined on closed non-orientable manifolds, such as the real projective plane ℝℙ2 and the Klein bottle 𝕂2. Such CFT can be constructed by introducing antipodally identified cuttings, i.e. crosscaps, to a sphere and hence called crosscap CFT (XCFT). The gravity dual is AdS3 spacetime with dS2 end-of-the-world branes. In particular, the Lorentzian spacetime with a global dS2 brane is dual to the unitary time evolution of a crosscap state in CFT, post-selected on the CFT ground state. We compute the holographic ℝℙ2 partition function (or the p-function), one-point function, and 𝕂2 partition function, and see that they successfully reproduce the XCFT results. We also show a holographic p-theorem as an application.https://doi.org/10.1007/JHEP03(2025)086AdS-CFT Correspondencede Sitter space |
| spellingShingle | Zixia Wei Holographic dual of crosscap conformal field theory Journal of High Energy Physics AdS-CFT Correspondence de Sitter space |
| title | Holographic dual of crosscap conformal field theory |
| title_full | Holographic dual of crosscap conformal field theory |
| title_fullStr | Holographic dual of crosscap conformal field theory |
| title_full_unstemmed | Holographic dual of crosscap conformal field theory |
| title_short | Holographic dual of crosscap conformal field theory |
| title_sort | holographic dual of crosscap conformal field theory |
| topic | AdS-CFT Correspondence de Sitter space |
| url | https://doi.org/10.1007/JHEP03(2025)086 |
| work_keys_str_mv | AT zixiawei holographicdualofcrosscapconformalfieldtheory |