Boundedness of meta-conformal two-point functions in one and two spatial dimensions
arXiv:2006.04537 · doi:10.1088/1751-8121/abb9ef
Abstract
Meta-conformal invariance is a novel class of dynamical symmetries, with dynamical exponent , 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, this assumption implies un-physical singularities in the co-variant correlators. A careful reformulation of the global meta-conformal Ward identities in a dualised space, combined with a regularity postulate, leads to bounded and regular expressions for the co-variant two-point functions, both in and spatial dimensions.
arXiv commentLatex2e, 1+ 22 pages, 4 figures, final form
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