Shifted Homotopy Analysis of the Linearized Higher-Spin Equations in Arbitrary Higher-Spin Background

Analysis of the first-order corrections to higher-spin equations is extendedto homotopy operators involving shift parameters with respect to the spinor $Y$variables, the argument of the higher-spin connection $\omega(Y)$ and theargument of the higher-spin zero-form $C(Y)$. It is shown that a relaxeduniform $(y+p)$-shift and a shift by the argument of $\omega(Y)$ respect theproper form of the free higher-spin equations and constitute a one-parametricclass of vertices that contains those resulting from the conventional (noshift) homotopy. A pure shift by the argument of $\omega(Y)$ is shown not toaffect the one-form higher-spin field $W$ in the first order and, hence, theform of the respective vertices.

Differential contracting homotopy in higher-spin theory

Cases of paternal inheritance and recombination of mitochondrial DNA in peas (Pisum L.)

Supertraces on queerified algebras

We describe supertraces on ``queerifications'' (see arxiv:2203.06917) of thealgebras of matrices of ``complex size'', algebras of observables ofCalogero-Moser model, Vasiliev higher spin algebras, and (super)algebras ofpseudo-differential operators. In the latter case, the supertraces establishcomplete integrability of the analogs of Euler equations to be written.

Monte Carlo analysis of BWR geometries using a cycle check-up methodology

A five-year follow-up in homozygous familial hypercholesterolemia patients of the Russian familial hypercholesterolemia registry

Exsolution of oxygen impurity from diamond lattice and formation of pressurized CO2-I precipitates

Diamond single crystals showing Infra-red features of pressurized CO2-I phasewere studied using Transmission Electron Microscopy (TEM) and tomography.Numerous O-containing precipitates with sizes up to 45 nm are observed. Theabsolute majority of these precipitates decorate dislocation loops or arelocated inside them; individual scattered precipitates are also present.Morphology of the precipitates varies from quasi-isometric octahedra to highlyflattened elongated ones. Close association of the precipitates with thedislocation loops implies their formation by exsolution of oxygen impurity fromdiamond lattice; the size distribution of the precipitates suggests that theequilibrium state is not yet reached. Presumably, the morphology and precisechemical composition depend on P-T-t evolution of the diamond crystal andcorresponding changes in oxygen supersaturation in the lattice. TheCO2-containing diamonds often contain micron-sized hexagonal lamellarinclusions. TEM investigation of a lamellae reveals that it consists of highquality graphite showing partial epitaxial relation with comprising diamond.The gap between the graphite and diamond may be enriched with oxygen impurity.

The Mio-Pliocene transition in the Dacian Basin (Eastern Paratethys): Paleomagnetism, mollusks, microfauna and sedimentary facies of the Pontian regional stage

In Memoriam: Richard J. Goldstein

In Memoriam: Richard J. Goldstein