Five crystalline retinenes have been isolated, which have every appearance of being cis-trans isomers of one another. They are all-trans retinene; three apparently mono-cis isomers: neoretinenes a and b and isoretinene a; and isoretinene b, an apparently di-cis isomer. The absorption spectra of these substances display the relations expected of cis-trans isomers. The main absorption band is dis...

We determine the structure of geometrical superconformal anomalies for N = 1 supersymmetric quantum field theories on curved superspace to all orders in ~. For the massless Wess-Zumino model we show how these anomalies contribute to the local Callan-Symanzik equation which expresses the breakdown of superconformal symmetry in terms of the usual β and γ functions. PACS numbers: 04.62+v, 11.10Gh,...

Abstract Modern cutting tools like end mills, drilling tools, and reamers underlie high requirements regarding geometrical accuracy, edge quality, production costs. However, the potential for process optimization is limited due to kinematics during grinding. Consequently, a novel tool grinding manufacture of has been developed recently at Institute Production Engineering Machine Tools (IFW). Th...

In this paper, we conduct a study on the scalar field obtained from $\mathit{f(R)}$ gravity via Weyl transformation of spacetime metric $g_{\mu\nu}$ Jordan frame to Einstein frame. The is as result modification in geometrical part Einstein's equation General Relativity. For Hu-Sawicki model gravity, find effective potential and calculate its mass. Our shows that (also named scalaron) has chamel...

The geometrical approach to phase transitions is illustrated by simulating the hightemperature representation of the Ising model on a square lattice.

A natural geometric framework is proposed, based on ideas of W. M. Tulczyjew, for constructions of dynamics on general algebroids. One obtains formalisms similar to the Lagrangian and the Hamiltonian ones. In contrast with recently studied concepts of Analytical Mechanics on Lie algebroids, this approach requires much less than the presence of a Lie algebroid structure on a vector bundle, but i...

The object of this talk is to illustrate the usefulness of symplectic geometry in understanding new features of geometrical optics for spinning light in refractive media, e.g., the subtle transverse shift of light beams across an interface, which has been coined the Spin Hall Effect of Light [1]. We reformulate Fermat’s principle to describe spinning light rays in Riemannian three-manifolds, (M...

We propose an alternative formulation of tachyon inflation using the geometrical tachyon arising from the time dependent motion of a BPS D3-brane in the background geometry due to k parallel NS5-branes arranged around a ring of radius R. Due to the fact that the mass of this geometrical tachyon field is √ 2/k times smaller than the corresponding open-string tachyon mass, we find that the slow r...