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Inflation and Conformal Invariance: The Perspective from Radial Quantization

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0 Published in 2017 at "Protein Science"

DOI: 10.1002/prop.201700023

Abstract: According to the dS/CFT correspondence, correlators of fields generated during a primordial de Sitter phase are constrained by three-dimensional conformal invariance. Using the properties of radially quantized conformal field theories and the operator-state correspondence, we… read more here.

Keywords: invariance; inflation conformal; perspective radial; conformal invariance ... See more keywords

Dual conformal invariance for form factors

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1 Published in 2019 at "Journal of High Energy Physics"

DOI: 10.1007/jhep02(2019)134

Abstract: A bstractForm factors of the stress-tensor multiplet operator in N=4$$ \mathcal{N}=4 $$ supersymmetric Yang-Mills reveal surprisingly simple structures similar to those appearing in scattering amplitudes. In this paper we show that, as for the case… read more here.

Keywords: conformal invariance; case; form factors; invariance form ... See more keywords

A structural test for the conformal invariance of the critical 3d Ising model

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1 Published in 2019 at "Journal of High Energy Physics"

DOI: 10.1007/jhep04(2019)115

Abstract: How can a renormalization group fixed point be scale invariant without being conformal? Polchinski (1988) showed that this may happen if the theory contains a virial current — a non-conserved vector operator of dimension exactly… read more here.

Keywords: conformal invariance; ising model; model; critical ising ... See more keywords

Ising Model: Local Spin Correlations and Conformal Invariance

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0 Published in 2019 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-019-03312-y

Abstract: We study the 2-dimensional Ising model at critical temperature on a simply connected subset $${\Omega_{\delta}}$$Ωδ of the square grid $${\delta\mathbb{Z}^{2}}$$δZ2. The scaling limit of the critical Ising model is conjectured to be described by Conformal… read more here.

Keywords: model local; model; ising model; conformal invariance ... See more keywords

Weighted conformal invariance of Banach spaces of analytic functions

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1 Published in 2021 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2021.108946

Abstract: Abstract We consider Banach spaces of analytic functions in the unit disc which satisfy a weighted conformal invariance property, that is, for a fixed α > 0 and every conformal automorphism φ of the disc,… read more here.

Keywords: weighted conformal; conformal invariance; banach spaces; analytic functions ... See more keywords

Comment on ‘Conformal invariance of the Lundgren–Monin–Novikov equations for vorticity fields in 2D turbulence’

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2 Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/abe95a

Abstract: The recent claim by Grebenev et al (2017 J. Phys. A: Math. Theor. 50 435502) that the inviscid 2D Lundgren–Monin–Novikov (LMN) equations on a zero-vorticity characteristic naturally would reveal local conformal invariance when only analyzing… read more here.

Keywords: comment; invariance; vorticity; monin novikov ... See more keywords

Conformal invariance from scale invariance in nonlinear sigma models

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0 Published in 2020 at "Physical Review D"

DOI: 10.1103/physrevd.102.065018

Abstract: There exists a certain argument that in even dimensions, scale invariant quantum field theories are conformal invariant. We may try to extend the argument in $2n + \epsilon$ dimensions, but the naive extension has a… read more here.

Keywords: invariance; conformal invariance; sigma models; invariance scale ... See more keywords

Conformal invariance of weakly compressible two-dimensional turbulence.

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0 Published in 2020 at "Physical Review E"

DOI: 10.1103/physreve.102.023107

Abstract: We study conformal invariance of vorticity clusters in weakly compressible two-dimensional turbulence at low Mach numbers. On the basis of very high resolution direct numerical simulation we demonstrate the scaling invariance of the inverse cascade… read more here.

Keywords: invariance; weakly compressible; dimensional turbulence; two dimensional ... See more keywords

Conformal Invariance and Conserved Quantities for Lagrange Equation of Thin Elastic Rod

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1 Published in 2017 at "Acta Physica Polonica A"

DOI: 10.12693/aphyspola.131.283

Abstract: Conformal Invariance and Conserved Quantities for Lagrange Equation of Thin Elastic Rod Peng Wanga,∗, Hui-Rong Feng and Zhi-Mei Lou School of Civil Engineering and Architecture, University of Jinan, Jinan, Shangdong, 250022, P.R. China College of… read more here.

Keywords: equation thin; conserved quantities; lagrange equation; quantities lagrange ... See more keywords