On Carroll partition functions and flat space holography
Abstract We continue the study of Carroll limits on partition functions of relativistic conformal theories and their thermodynamics. By introducing imaginary chemical potentials v conjugate to momenta, one can access and study the Carroll regime in which v ≫ c. We analyze examples of free massless p...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)232 |
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| _version_ | 1849238219968741376 |
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| author | Georgios Poulias Stefan Vandoren |
| author_facet | Georgios Poulias Stefan Vandoren |
| author_sort | Georgios Poulias |
| collection | DOAJ |
| description | Abstract We continue the study of Carroll limits on partition functions of relativistic conformal theories and their thermodynamics. By introducing imaginary chemical potentials v conjugate to momenta, one can access and study the Carroll regime in which v ≫ c. We analyze examples of free massless particles, 2d CFTs and some free field theories in d spatial dimensions. For 2d holographic CFTs, we revisit and clarify further the connection between the Carroll limit and the flat space limit of BTZ black holes. The general picture, valid in any dimension, is that, starting from AdS/CFT, the boundary Carrollian field theory lives on the horizon of a large black hole in AdS, which is pushed to the null boundary in the flat space limit. |
| format | Article |
| id | doaj-art-4f8b004b5cd64242914432e8b25261b0 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4f8b004b5cd64242914432e8b25261b02025-08-20T04:01:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612310.1007/JHEP06(2025)232On Carroll partition functions and flat space holographyGeorgios Poulias0Stefan Vandoren1Institute for Theoretical Physics, Utrecht UniversityInstitute for Theoretical Physics, Utrecht UniversityAbstract We continue the study of Carroll limits on partition functions of relativistic conformal theories and their thermodynamics. By introducing imaginary chemical potentials v conjugate to momenta, one can access and study the Carroll regime in which v ≫ c. We analyze examples of free massless particles, 2d CFTs and some free field theories in d spatial dimensions. For 2d holographic CFTs, we revisit and clarify further the connection between the Carroll limit and the flat space limit of BTZ black holes. The general picture, valid in any dimension, is that, starting from AdS/CFT, the boundary Carrollian field theory lives on the horizon of a large black hole in AdS, which is pushed to the null boundary in the flat space limit.https://doi.org/10.1007/JHEP06(2025)232AdS-CFT CorrespondenceBlack Holes in String Theory |
| spellingShingle | Georgios Poulias Stefan Vandoren On Carroll partition functions and flat space holography Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory |
| title | On Carroll partition functions and flat space holography |
| title_full | On Carroll partition functions and flat space holography |
| title_fullStr | On Carroll partition functions and flat space holography |
| title_full_unstemmed | On Carroll partition functions and flat space holography |
| title_short | On Carroll partition functions and flat space holography |
| title_sort | on carroll partition functions and flat space holography |
| topic | AdS-CFT Correspondence Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP06(2025)232 |
| work_keys_str_mv | AT georgiospoulias oncarrollpartitionfunctionsandflatspaceholography AT stefanvandoren oncarrollpartitionfunctionsandflatspaceholography |