Infinite-Dimensional Metaconformal Symmetries: 1D Diffusion-Limited Erosion and Ballistic Transport in $$(1+2)$$ Dimensions

Henkel, Malte; Stoimenov, Stoimen

doi:10.1007/978-981-13-2715-5_6

Cited by 3 publications

(2 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In gure 3, we show that the shape of this correlator (3.12) smoothly interpolates between the preferred and the transverse direction, when the transverse rapidity γ ⊥,1 = 0. This is qualitatively very similar to the 1D meta-conformal correlator, which has been described before [44,45]. For φ = 90 • , the cusp at the origin indicates a non-analyticity.…”

Section: Regularised Meta-conformal Correlator: the 2d Casesupporting

confidence: 82%

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

Henkel¹,

Kuczynski²,

Stoimenov³

2020

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Regularised Meta-conformal Correlator: the 2d Casesupporting

confidence: 82%

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

Henkel¹,

Kuczynski²,

Stoimenov³

2020

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In figure 3, we show that the shape of this correlator (3.12) smoothly interpolates between the preferred and the transverse direction, when the transverse rapidity γ ⊥,1 = 0. This is qualitatively very similar to the 1D meta-conformal correlator, which has been described before [40,41]. For φ = 90 o , the cusp at the origin indicates a non-analyticity.…”

Section: Introductionsupporting

confidence: 82%

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

Henkel,

Kuczynski,

Stoimenov

2020

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Meta-conformal Invariance and Their Covariant Correlation Functions

Henkel

Stoimenov

2020

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

Infinite-Dimensional Metaconformal Symmetries: 1D Diffusion-Limited Erosion and Ballistic Transport in $$(1+2)$$ Dimensions

Cited by 3 publications

References 47 publications

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

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

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

Meta-conformal Invariance and Their Covariant Correlation Functions

Contact Info

Product

Resources

About