Classification of Conformal Carroll Algebras - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Classification of Conformal Carroll Algebras

Hamid Afshar
  • Fonction : Auteur
Mojtaba Najafizadeh
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-04737863 , version 1 (15-10-2024)

Identifiants

Citer

Hamid Afshar, Xavier Bekaert, Mojtaba Najafizadeh. Classification of Conformal Carroll Algebras. 2024. ⟨hal-04737863⟩
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