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arXiv · 2409.19953

Classification of Conformal Carroll Algebras

Hamid Afshar·Xavier Bekaert·Mojtaba Najafizadeh
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Abstract

We classify a one-parameter family, $\mathfrak{confcarr}_z(d+1)$, of conformal extensions of the Carroll algebra in arbitrary dimension with $z$ being the anisotropic scaling exponent. We further obtain their infinite-dimensional extensions, $\widetilde{\mathfrak{confcarr}}_z(d+1)$, 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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Hamid Afshar, Xavier Bekaert, Mojtaba Najafizadeh. 2024-09-30. Classification of Conformal Carroll Algebras. https://doi.org/10.1007/jhep12(2024)148

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