Classification of conformal carroll algebras
Abstract We classify a one-parameter family, confcar r z d + 1 $$ \mathfrak{confcar}{\mathfrak{r}}_z\left(d+1\right) $$ , of conformal extensions of the Carroll algebra in arbitrary dimension with z being the anisotropic scaling exponent. We further obtain their infinite-dimensional extensions, conf...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)148 |
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| author | Hamid Afshar Xavier Bekaert Mojtaba Najafizadeh |
| author_facet | Hamid Afshar Xavier Bekaert Mojtaba Najafizadeh |
| author_sort | Hamid Afshar |
| collection | DOAJ |
| description | Abstract We classify a one-parameter family, confcar r z d + 1 $$ \mathfrak{confcar}{\mathfrak{r}}_z\left(d+1\right) $$ , of conformal extensions of the Carroll algebra in arbitrary dimension with z being the anisotropic scaling exponent. We further obtain their infinite-dimensional extensions, confcarr ~ z d + 1 $$ {\overset{\sim }{\mathfrak{confcarr}}}_z\left(d+1\right) $$ , and discuss their corresponding finite-dimensional truncated subalgebras when the scaling exponent is integer or half-integer. For all these conformal extensions, we also constrain the 2-point and 3-point correlation functions with electric and/or magnetic features. |
| format | Article |
| id | doaj-art-1b2cdb73d72b4f63a02c9a0d9a593852 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-1b2cdb73d72b4f63a02c9a0d9a5938522025-01-05T12:06:55ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214110.1007/JHEP12(2024)148Classification of conformal carroll algebrasHamid Afshar0Xavier Bekaert1Mojtaba Najafizadeh2Department of Physics, Faculty of Science, Ferdowsi University of MashhadInstitut Denis Poisson, Unité Mixte de Recherche 7013, Université de Tours — Université d’Orléans — CNRSDepartment of Physics, Faculty of Science, Ferdowsi University of MashhadAbstract We classify a one-parameter family, confcar r z d + 1 $$ \mathfrak{confcar}{\mathfrak{r}}_z\left(d+1\right) $$ , of conformal extensions of the Carroll algebra in arbitrary dimension with z being the anisotropic scaling exponent. We further obtain their infinite-dimensional extensions, confcarr ~ z d + 1 $$ {\overset{\sim }{\mathfrak{confcarr}}}_z\left(d+1\right) $$ , and discuss their corresponding finite-dimensional truncated subalgebras when the scaling exponent is integer or half-integer. For all these conformal extensions, we also constrain the 2-point and 3-point correlation functions with electric and/or magnetic features.https://doi.org/10.1007/JHEP12(2024)148Scale and Conformal SymmetriesSpace-Time SymmetriesAdS-CFT CorrespondenceIntegrable Field Theories |
| spellingShingle | Hamid Afshar Xavier Bekaert Mojtaba Najafizadeh Classification of conformal carroll algebras Journal of High Energy Physics Scale and Conformal Symmetries Space-Time Symmetries AdS-CFT Correspondence Integrable Field Theories |
| title | Classification of conformal carroll algebras |
| title_full | Classification of conformal carroll algebras |
| title_fullStr | Classification of conformal carroll algebras |
| title_full_unstemmed | Classification of conformal carroll algebras |
| title_short | Classification of conformal carroll algebras |
| title_sort | classification of conformal carroll algebras |
| topic | Scale and Conformal Symmetries Space-Time Symmetries AdS-CFT Correspondence Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP12(2024)148 |
| work_keys_str_mv | AT hamidafshar classificationofconformalcarrollalgebras AT xavierbekaert classificationofconformalcarrollalgebras AT mojtabanajafizadeh classificationofconformalcarrollalgebras |