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| Paper IPM / P / 17900 | ||||||||||||||||||||
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We classify a one-parameter family, confcarrz(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, ~confcarrz(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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