Implicit ODE, cubic in derivative, generically has no infinitesimal symmetries even at regular points with distinct roots. Cartan showed that at regular points, ODEs with hexagonal 3-web of solutions have symmetry algebras ...

Block copolymer thin films have attracted considerable attention for their ability to self-assemble into nanometre-scale architectures. Recent advances in the use of block copolymer thin films as nano-lithographic masks ...

We investigate the hexagon formalism in the planar 4d conformal fishnet theory. This theory arises from N = 4 SYM by a deformation that preserves both conformal symmetry and integrability. Based on this relation, we obtain ...

We propose a nonperturbative framework to study general correlation functions of single-trace operators in N = 4 supersymmetric Yang-Mills theory at large N. The basic strategy is to decompose them into fundamental building ...

We report on the study of arrays of 60 nm wide cobalt antidots, nanopatterned using focused ion beam milling. Square and hexagonal symmetry arrays have been studied, with varying antidot densities and lattice constant from ...

This paper evaluates the effect that different imposed crystal symmetries have on the topology design of two-phase isotropic elastic composites ruled by the target of attaining extreme theoretical properties. Extreme ...

Since the up-conversion phenomenon in rare-earths (REs) doped NaYF4 is strongly affected by the crystal electric field (CF), determining the CF parameters, wave functions, and scheme of the energy levels of the RE J ...