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

Using the dynamic mapping of the microwave brain radiation for functional studies

In this study, organizational principles of the radiophysical complex are proposed for simultaneous measurements of the brightness temperature fluctuations of the human brain and parameters of the autonomic nervous system. A new structure of the medical microwave radiothermograph is suggested based on the parametric compensation of losses in the circuit elements of the thermobalance. The aim of this article is to justify the structural organization of the radiophysical complex for the recording and joint real-time analysis of processes of the microwave radiation formation in the brain tissue and characteristics of the autonomic nervous system. Description of the radiophysical complex MRTHR with realization of these principles is presented. The peculiarity of the proposed radiophysical complex is in passive elements that do not contain electronic nodes and blocks and are inside the shielded cabin. In order to increase the accuracy of the brightness temperature of the deep brain structures measurement in the radiophysical complex a new structure is implemented. This structure of the medical microwave radiothermograph is based on the parametric compensation of losses in the circuit elements of the thermobalance

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

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

Magnetic fluctuations and superconducting properties of CaKFe4As4 studied by 75As NMR

We report $^{75}$As nuclear magnetic resonance (NMR) studies on a new iron-based superconductor CaKFe$_4$As$_4$ with $T_{\rm c}$ = 35 K. $^{75}$As NMR spectra show two distinct lines corresponding to the As(1) and As(2) sites close to the K and Ca layers, respectively, revealing that K and Ca layers are well ordered without site inversions. We found that nuclear quadrupole frequencies $\nu_{\rm Q}$ of the As(1) and As(2) sites show an opposite temperature ($T$) dependence. Nearly $T$ independent behavior of the Knight shifts $K$ are observed in the normal state, and a sudden decrease in $K$ in the superconducting (SC) state clearly evidences spin-singlet Cooper pairs. $^{75}$As spin-lattice relaxation rates 1/$T_1$ show a power law $T$ dependence with different exponents for the two As sites. The isotropic antiferromagnetic spin fluctuations characterized by the wavevector ${\bf q}$ = ($\pi$, 0) or (0, $\pi$) in the single-iron Brillouin zone notation are revealed by 1/$T_1T$ and $K$ measurements. Such magnetic fluctuations are necessary to explain the observed temperature dependence of the $^{75}$As quadrupole frequencies, as evidenced by our first-principles calculations. In the SC state, 1/$T_1$ shows a rapid decrease below $T_{\rm c}$ without a Hebel-Slichter peak and decreases exponentially at low $T$, consistent with an $s^{\pm}$ nodeless two-gap superconductor.Comment: 9 pages, 6 figures, accepted for publication in Phys.Rev.

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