Abstract
Meta-conformal invariance is a novel class of dynamical symmetries, with dynamical exponent \(z=1\), and distinct from the standard ortho-conformal invariance. The meta-conformal Ward identities can be directly read off from the Lie algebra generators, but this procedure implicitly assumes that the co-variant correlators should depend holomorphically on time- and space coordinates. Furthermore, making this assumptions leads to un-physical singularities in the co-variant correlators. We show how to carefully reformulate the meta-conformal Ward identities in order to obtain regular, but non holomorphic expressions for the co-variant two-point functions, both in \(d=1\) and \(d=2\) spatial dimensions.
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