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Article Dans Une Revue J.Phys.A Année : 2020

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

Malte Henkel
Stoimen Stoimenov
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Résumé

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.

Dates et versions

hal-02885681 , version 1 (30-06-2020)

Identifiants

Citer

Malte Henkel, Michal Dariusz Kuczynski, Stoimen Stoimenov. Boundedness of meta-conformal two-point functions in one and two spatial dimensions. J.Phys.A, 2020, 53 (47), pp.475001. ⟨10.1088/1751-8121/abb9ef⟩. ⟨hal-02885681⟩
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