标题： 共形卡罗尔代数的分类 显示英文标题

标题： Classification of Conformal Carroll Algebras

摘要： 我们对一个一参数族$\mathfrak{confcarr}_z(d+1)$进行分类，这是任意维度下 Carroll 代数的共形扩张，其中$z$是各向异性标度指数。 我们进一步获得了它们的无限维扩张$\widetilde{\mathfrak{confcarr}}_z(d+1)$，并讨论当标度指数为整数或半整数时它们对应的有限维截断子代数。 对于所有这些共形扩张，我们还约束了具有电和/或磁特性的两点和三点关联函数。 显示英文摘要

摘要： 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.