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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)148 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |