Spinors for Spinning p-Branes

The group of the p-brane world volume preserving diffeomorphism is considered. The infinite-dimensional spinors of this group are related, by the nonlinear realization techniques, to the corresponding spinors of its linear subgroup, that are constructed explicitly. An algebraic construction of the Virasoro and Neveu-Schwarz-Ramond algebras, based on this infinite-dimensional spinors and tensors, is demonstrated.Comment: 18 page

Epic Formulas of the Northern, Central and Vilyuy Regional Traditions of the Yakut Olonkho: Comparative Aspect

Epic formulas, formed on the basis of rhythmic-syntactic parallelism are studied. A comparative analysis of the text of the Mom (northern) olonkho with the texts of the olonkho representing other regional traditions - central and Vilyuisk is carried out. The relevance of the study is due to the need for scientific understanding of the northern olonkho, which in Yakut folklore has not received enough attention. The aim is to identify distinctive features against the background of other regional traditions of olonkho. The novelty of the work is that the study of epic formulas is carried out for the first time on the basis of three texts of olonkho, representing the three main epic traditions of the Yakut olonkho. As a result of the study, the author comes to the conclusion that in the analyzed examples there is a direct connection, which is based on general methods of forming epic formulas - the matrix of rhythmic-syntactic parallelism. The author identifies the general epic, transitional and formulas of the regional tradition, which in turn include particular formulas, which are stable stylistic elements characteristic of the epos of the Turkic-speaking peoples. According to the author, these sustainable designs have aesthetic value; they are very significant for the perception of the text of olonkho: according to them, students evaluate the degree of mastery of the narrator, his improvisational abilities

Universals of Epic Formulas in the Yakut Olonkho and Shor Epic: Comparative Aspect

The article provides a comparative analysis of epic formulas from the Shor epic with similar constructions from the Yakut olonkho formed on the basis of rhythmic and syntactic parallelism. The relevance of the study is due to the need to identify the degree of interconnection between the Yakut olonkho and the Shor epic at the level of epic formulas, which still remains outside the field of view of researchers. The novelty of the study lies in the fact that when sampling material from the Yakut epic, the author is not limited to examples from the same olonkho text, but uses a more varied approach and involves formulas from several texts. In the analysis of epic formulas, the main focus is on keywords, as well as on the general context of the peripheral components of stable constructions. As a result of the study, it is established that the analyzed examples are universals in which the uniformity of the structure and the commonality of the content are viewed. According to the author of the article, these universals are the result of a common origin and culture of peoples. It is concluded that the patterns of rhythmic-syntactic parallelism are preserved due to the stability of epic formulas and indicate a genetic relationship between the Yakut olonkho and the Shor epic

On the full, strongly exceptional collections on toric varieties with Picard number three

We investigate full strongly exceptional collections on smooth, com- plete toric varieties. We obtain explicit results for a large family of varieties with Picard number three, containing many of the families already known. We also describe the relations between the collections and the split of the push forward of the trivial line bundle by the toric Frobenius morphism

C2C_2-cofiniteness of 2-cyclic permutation orbifold models

In this article, we consider permutation orbifold models of $C_2$-cofinite vertex operator algebras of CFT type. We show the $C_2$-cofiniteness of the 2-cyclic permutation orbifold model $(V\otimes V)^{S_2}$ for an arbitrary $C_2$-cofinite simple vertex operator algebra $V$ of CFT type. We also give a proof of the $C_2$-cofiniteness of a $\Z_2$-orbifold model $V_L^+$ of the lattice vertex operator algebra $V_L$ associated with a rank one positive definite even lattice $L$ by using our result and the $C_2$-cofiniteness of $V_L$.Comment: 25 pages, no figure, some typo are correcte

Use of accelerated helium-3 ions for determining oxygen and carbon impurities in some pure materials

Methods are developed for the determination of O impurity in Be and Si carbide and concurrent determination of C and O impurities in Si and W by irradiation with accelerated He-3 ions and subsequent activity measurements of C-11 and F-18 formed from C and O with the aid of a gamma-gamma coincidence spectrometer. Techniques for determining O in Ge and Ga arsenide with radiochemical separation of F-18 are also described

Multi-filament structures in relativistic self-focusing

A simple model is derived to prove the multi-filament structure of relativistic self-focusing with ultra-intense lasers. Exact analytical solutions describing the transverse structure of waveguide channels with electron cavitation, for which both the relativistic and ponderomotive nonlinearities are taken into account, are presented.Comment: 21 pages, 12 figures, submitted to Physical Review

Exponential splitting of bound states in a waveguide with a pair of distant windows

We consider Laplacian in a straight planar strip with Dirichlet boundary which has two Neumann ``windows'' of the same length the centers of which are $2l$ apart, and study the asymptotic behaviour of the discrete spectrum as $l\to\infty$. It is shown that there are pairs of eigenvalues around each isolated eigenvalue of a single-window strip and their distances vanish exponentially in the limit $l\to\infty$. We derive an asymptotic expansion also in the case where a single window gives rise to a threshold resonance which the presence of the other window turns into a single isolated eigenvalue

Magneto-structural properties of the layered quasi-2D triangular-lattice antiferromagnets Cs2_2CuCl4−x_{4-x}Brx_x for x{x} = 0,1,2 and 4

We present a study of the magnetic susceptibility $\chi_{mol}$ under variable hydrostatic pressure on single crystals of Cs$_2$CuCl$_{4-x}$Br$_x$. This includes the border compounds \textit{x} = 0 and 4, known as good realizations of the distorted triangular-lattice spin-1/2 Heisenberg antiferromagnet, as well as the isostructural stoichiometric systems Cs$_2$CuCl$_{3}$Br$_1$ and Cs$_2$CuCl$_{2}$Br$_2$. For the determination of the exchange coupling constants $J$ and $J^{\prime}$, $\chi_{mol}$ data were fitted by a $J-J^{\prime}$ model \cite{Schmidt2015}. Its application, validated for the border compounds, yields a degree of frustration $J^{\prime}$/$J$ = 0.47 for Cs$_2$CuCl$_3$Br$_1$ and $J^{\prime}$/$J$ $\simeq$ 0.63 - 0.78 for Cs$_2$CuCl$_2$Br$_2$, making these systems particular interesting representatives of this family. From the evolution of the magnetic susceptibility under pressure up to about 0.4\,GPa, the maximum pressure applied, two observations were made for all the compounds investigated here. First, we find that the overall energy scale, given by $J_c = (J^2$ + $J^{\prime 2}$)$^{1/2}$, increases under pressure, whereas the ratio $J^{\prime}$/$J$ remains unchanged in this pressure range. These experimental observations are in accordance with the results of DFT calculations performed for these materials. Secondly, for the magnetoelastic coupling constants, extraordinarily small values are obtained. We assign these observations to a structural peculiarity of this class of materials