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arXiv · 2006.04537

Boundedness of meta-conformal two-point functions in one and two spatial dimensions

Malte Henkel·Michal Dariusz Kuczynski·Stoimen Stoimenov
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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, 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 $d=1$ and $d=2$ spatial dimensions.

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Malte Henkel, Michal Dariusz Kuczynski, Stoimen Stoimenov. 2020-06-08. Boundedness of meta-conformal two-point functions in one and two spatial dimensions. https://doi.org/10.1088/1751-8121%2Fabb9ef

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