Concept

Conformal geometry

Related publications (134)

Lattice Representations of the Virasoro Algebra I : Discrete Gaussian Free Field

Most two-dimensional massless field theories carry represe ntations of the Virasoro algebra as consequences of their conformal symmetry. Recently, conformal symmetry has been rigorously established for scaling limit s of lattice models by means of discrete ...

2015

Discrete variational Lie group formulation of geometrically exact beams dynamics

Yves Weinand, Tudor Ratiu, François Gay-Balmaz, François Marie Alain Demoures

The goal of this paper is to derive a structure preserving integrator for geometrically exact beam dynamics, by using a Lie group variational integrator. Both spatial and temporal discretization are implemented in a geometry preserving manner. The resultin ...

Springer Verlag2015

Perturbative conformal symmetry and dilaton

Alexander Monin, Frédéric Gretsch

Spontaneous symmetry breaking with necessity leads to the presence of Goldstone field(s). In the case of scale or conformal symmetries the corresponding Goldstone mode is called the dilaton. Consistently coupling a system to the dilaton poses certain diffi ...

Amer Physical Soc2015

Variational Monte Carlo investigation of SU(N) Heisenberg chains

Frédéric Mila, Pierre Marcel Nataf, Jérôme Dufour

Motivated by recent experimental progress in the context of ultracold multicolor fermionic atoms in optical lattices, we have investigated the properties of the SU (N) Heisenberg chain with totally antisymmetric irreducible representations, the effective m ...

2015

Bipolar Conductance Switching of Single Anthradithiophene Molecules

Klaus Kern, Hagen Klauk, Uta Schlickum, Peter Wahl, Ivan Pentegov, Verena Katharina Schendel

Single molecular switches are basic device elements in organic electronics. The pentacene analogue anthradithiophene (ADT) shows a fully reversible binary switching between different adsorption conformations on a metallic surface accompanied by a charge tr ...

Amer Chemical Soc2015

Conformal symmetry of the critical 3D Ising model inside a sphere

We perform Monte-Carlo simulations of the three-dimensional Ising model at the critical temperature and zero magnetic field. We simulate the system in a ball with free boundary conditions on the two dimensional spherical boundary. Our results for one and t ...

Springer2015

Factorization of Mellin amplitudes

We introduce Mellin amplitudes for correlation functions of k scalar operators and one operator with spin in conformal field theories (CFT) in general dimension. We show that Mellin amplitudes for scalar operators have simple poles with residues that facto ...

Springer2015

Optical properties of waveguide-coupled nanowires for sub-wavelength detection in microspectrometer applications

Alessandro Crespi, Toralf Scharf

In this paper we experimentally investigate optical interactions between gold nanowires and fs-laser written waveguides in a view of applications for stationary-wave integrated Fourier-transform spectrometers in a movable mirror configuration. For this pur ...

European Optical Society2015

Conformal Invariance of Spin Pattern Probabilities in the Planar Ising Model

Clément Hongler, Sung Chul Park

We study the 2-dimensional Ising model at critical temperature on a smooth simply-connected graph Ω.We rigorously prove the conformal invariance of arbitrary spin-pattern probabilities centered at a point a and derive formulas to compute the probabilities ...

2015

Circuit-Model Analysis of Frequency Selective Surfaces With Scatterers of Arbitrary Geometry

Juan Ramon Mosig, Maria Garcia Vigueras

An equivalent-network model is here proposed to characterize two-dimensional planar periodic arrays of arbitrary scatterers/apertures embedded in a layered environment. The model is an extension of the approach previously developed by some of the authors, ...

Institute of Electrical and Electronics Engineers2015

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