Dedicated to the memory of Rudelle Hall, teacher and friend 1. Introduction: The classification of conformal field theories. Conformal field theories (CFTs) and related structures have been of considerable value to mathematics , as for instance the work of Witten has shown. This paper is concerned with their classification. Fortunately, the problem has a simple expression in terms of the charac...

The enhanced electron field emission (EFE) properties of high aspect ratio, vertically aligned SiNW-ZnO core-shell arrays are presented. These core-shell arrays are prepared by a thin, controlled, highly crystalline and conformal coating of zinc oxide as shell using the plasma assisted-atomic layer deposition (PA-ALD) route on vertically aligned silicon nanowire arrays core. The core-shell nano...

This decade has witnessed a growing interest for solutions of general relativity in AdS spaces. This is due to the celebrated AdS/CFT correspondance conjecture1, relating solutions of general relativity in asymptotically AdS spaces to conformal field theories defined on the conformal boundary of the AdS space. In this context, black hole solutions play an important role2. In more than four dime...

A conformal dispersive finite-difference time-domain (FDTD) method is developed for the study of one-dimensional (1-D) plasmonic waveguides formed by an array of periodic infinite-long silver cylinders at optical frequencies. The curved surfaces of circular and elliptical inclusions are modelled in orthogonal FDTD grid using effective permittivities (EPs) and the material frequency dispersion i...

We discuss a certain class of two-dimensional quantum systems which exhibit conventional order and topological order, as well as two-dimensional quantum critical points separating these phases. All of the ground-state equal-time correlators of these theories are equal to correlation functions of a local two-dimensional classical model. The critical points therefore exhibit a time-independent fo...

We propose a one-dimensional nonlocal stochastic model of adsorption and desorption depending on one parameter, the adsorption rate. At a special value of this parameter, the model has some interesting features. For example, the spectrum is given by conformal field theory, and the stationary non-equilibrium probability distribution is given by the two-dimensional equilibrium distribution of the...

We investigate the phase diagram of hard-core bosons in two-leg ladders presence soft-shoulder potentials. show how competition between local and non-local terms gives rise to a with liquid phases dominant cluster, spin-, density-wave quasi-long-range ordering. These are separated by Berezinskii-Kosterlitz-Thouless, Gaussian, supersymmetric (SUSY) quantum critical transitions. For latter, we pr...

The phase diagram of quantum electrodynamics in three space-time dimensions as a function of fermion flavor number N exhibits two well-known phases: at large N > N c the system is in a conformal state with anomalous exponents, while for small N < N c the fermions are expected to develop a dynamical mass due to spontaneous chiral symmetry breaking. Using expansion near the lower critical dimensi...