Conformal Carroll scalars with boosts

We construct two distinct actions for scalar fields that are invariant under local Carroll boosts and Weyl transformations. Conformal field theories were recently argued to be related the celestial holography description of asymptotically flat spacetimes. However, only few explicit examples such known, they lack boost symmetry on a generic curved background. derive types conformal with background in any dimension compute their energy-momentum tensors, which traceless. In first type theories, time derivatives dominate spatial suppressed. second type, dominate, constraints present ensure invariance. By integrating out these constraints, we show can reduced lower-dimensional Euclidean CFTs, is reminiscent embedding space construction.