Concept

Conformal map

Related publications (79)

Rapid Analysis of Arbitrary-Shaped Conformal Beam-Scanning Arrays

Conformal antenna arrays are able to fit seamlessly on curved 3D-shaped surfaces, which are found ubiquitously on vehicles, aircraft, a human body, etc. In addition, conformal structures can overcome the scan loss limitations of conventional planar arrays. ...

IEEE2020

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

Pierre Mathieu Yvernay

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 (d - 1), whose divergence exp ...

Springer2019

Harmonic analysis and mean field theory

Denis Karateev

We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform. We introduce two efficient methods for computing these quantities: one based on weigh ...

Springer2019

Line Defects and Radiation in N=2 Conformal Theories

Marco Meineri

We study the conformal data of a generic superconformal line defect preserving half of the supercharges in a four-dimensional N = 2 conformal theory. We prove a theory independent relation between the one-point function of the stress tensor in the presence ...

AMER PHYSICAL SOC2018

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Jan Sickmann Hesthaven, Boris Bonev

We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and non-conforming, curved meshes in a well-balanced manner. This requires a well-balanced discretization, that can ...

2018

Momentum-space conformal blocks on the light cone

Marc Gillioz

We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary part admits an expansion in conformal blocks. The blocks are polynomials in ...

SPRINGER2018

Simulation of Gas- and Liquid-Phase Layer-By-Layer Deposition of Metal Oxides by Coarse-Grained Modeling

Jeremy Luterbacher, Florent Emmanuel Héroguel, Benjamin Pierre Le Monnier, Kristopher Brown, Chiara Saggese

Atomic layer deposition (ALD) and chemical layer deposition (CLD) are techniques to produce conformal, atomically precise overcoats for materials in gas and liquid phases, respectively. Although it is a challenge to explicitly model ALD/CLD dynamics becaus ...

2018

Conformal Mapping of Impedance Stability Models for System-Level Dynamics Assessments

Drazen Dujic, Francisco Daniel Freijedo Fernández, Uzair Javaid

Impedance stability methods are suitable for assessing the dynamics of power converters controllers, but also for ac/dc microgrids system level studies. This work proposes the combination of impedance modeling and conformal mapping for the identification o ...

2017

Dimerization and exotic criticality in spin-S chains

Natalia Chepiga

In this thesis we have studied the emergence of spontaneously dimerized phases in frustrated spin-S chains, with emphasis on the nature of the critical lines between the dimerized and non-dimerized phases. The main numerical method used in this thesis is t ...

EPFL2017

Scale anomalies, states, and rates in conformal field theory

Marc Gillioz

This paper presents two methods to compute scale anomaly coefficients in conformal field theories (CFTs), such as the c anomaly in four dimensions, in terms of the CFT data. We first use Euclidean position space to show that the anomaly coefficient of a fo ...

2017

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