New Model of Higher-Spin Particle

We elaborate on a new model of the higher-spin (HS) particle which makes manifest the classical equivalence of the HS particle of the unfolded formulation and the HS particle model with a bosonic counterpart of supersymmetry. Both these models emerge as two different gauges of the new master system. Physical states of the master model are massless HS multiplets described by complex HS fields which carry an extra U(1) charge q. The latter fully characterizes the given multiplet by fixing the minimal helicity as q/2. We construct the twistorial formulation of the master model and discuss symmetries of the new HS multiplets within its framework.Comment: 13 pages, talk given by E. Ivanov at the XII International Conference on Symmetry Methods in Physics (SYMPHYS-XII), Yerevan, Armenia, July 03 - 08, 2006; to be published in the Proceeding

Taming the zoo of supersymmetric quantum mechanical models

We show that in many cases nontrivial and complicated supersymmetric quantum mechanical (SQM) models can be obtained from the simple model describing free dynamics in flat complex space by two operations: (i) Hamiltonian reduction and (ii) similarity transformation of the complex supercharges. We conjecture that it is true for any SQM model.Comment: final version published in JHE

Evaluation of selected soft winter wheat lines for main ear grain weight

Received: February 28th, 2021 ; Accepted: May 8th, 2021 ; Published: May 12th, 2021 ; Correspondence: [email protected] to assess the breeding samples of soft winter wheat by weight of grain from the main ear anddetermine the indicators of adaptability were conducted at the Bila Tserkva Research and Selection Station (BTRSS) in 2011–2013. The study revealed significant differences in breeding lines in the range of variability of grain mass from the main ear and identified small, medium and significantcoefficients of variation, which indicates their excellent response to environmental conditions. It was due to genotype, year conditions and their interaction. Line 42 KS had significantly higher than the standard grain weight of the main ear (0.14 g) and the lowest value of the coefficient of variation (8.7%). According to the indicators of adaptability(GAC, σ²(GxE)gi, σ²SACi, σSACi, etc.) the lines 42 KS, 24 KS and 44 KS were distinguished. There was asignificant correlation between the weight of grain from the ear and the weight of 1,000 grains (0.603–0.674) and the direct influence of the weight of grain from the main ear on the weight of grain from the plantand grain yield (0.805–0.942). Selected lines as a result of research (2015–2020) from these populations of soft winter wheat are competitively tested in the conditions of Bila Tserkva Research and Selection Station, forming high grain yields (7.39–8.12 t ha-1 ) and will be transferred to 2021 for the State variety test for inclusion in the Register of plant varieties suitable for distribution in Ukraine

Worldline Superfield Actions for N=2 Superparticles

We propose doubly supersymmetric actions in terms of n=2(D-2) worldline superfields for N=2 superparticles in D=3,4 and Type IIA D=6 superspaces. These actions are obtained by dimensional reduction of superfield actions for N=1 superparticles in D=4,6 and 10, respectively. We show that in all these models geometrodynamical constraints on target superspace coordinates do not put the theory on the mass shell, so the actions constructed consistently describe the dynamics of the corresponding N=2 superparticles. We also find that in contrast to the IIA D=6 superparticle a chiral IIB D=6 superparticle, which is not obtainable by dimensional reduction from N=1, D=10, is described by superfield constraints which produce dynamical equations. This implies that for the IIB D=6 superparticle the doubly supersymmetric action does not exist in the conventional form.Comment: Latex, 20 pp. Minor corrections, acknowledgements adde

Event-B Patterns for Specifying Fault-Tolerance in Multi-Agent Interaction

Interaction in a multi-agent system is susceptible to failure. A rigorous development of a multi-agent system must include the treatment of fault-tolerance of agent interactions for the agents to be able to continue to function independently. Patterns can be used to capture fault-tolerance techniques. A set of modelling patterns is presented that specify fault-tolerance in Event-B specifications of multi-agent interactions. The purpose of these patterns is to capture common modelling structures for distributed agent interaction in a form that is re-usable on other related developments. The patterns have been applied to a case study of the contract net interaction protocol

To the question of production of pectin from beet pulp

Since at present their needs for pectin confectionery and pharmaceutical enterprises in Russia is satisfied only in part, because of the import of this product, the problem is currently the domestic production of pectin is very urgent. Sugar production is one of the branches materialconsuming industrial production, requiring a significant amount of raw materials per unit of output. A positive feature of beet raw material is that protopectin content of up to 98% of the total amount of pectin, which makes the extraction process parameters of the desired product. Dried beet pulp coming from the warehouse, is ground for the intensification of the processes of extraction of pectin; further pulp is hydrolyzed; the resulting mixture is sent to a filter press for coarse and fine purification of the extract. Hydrolyse pulp after neutralization fed to cattle feed. The extract was fed to a thin filter cleaning. After purification, the extract fed to precipitate pectin. Then it is crushed, cleaned and dried. The dried pectin packaged and sent to storage. The proposed technological scheme will allow to receive beet pectin, satisfying the requirements of the pectin substances of food and medical supplies. Studies have been conducted to obtain pectin from dried pulp. The resulting pectin organoleptic had a gray tint, which have a negative effect on the quality of the product. The pulp used as a raw material, which is dried by means of flue gases. For comparison was obtained pectin from dried beet pulp, as a coolant which use steam. Pectin is derived from such a pulp had higher quality indicators

Nonlinear combining and compression in multicore fibers

We demonstrate numerically light-pulse combining and pulse compression using wave-collapse (self-focusing) energy-localization dynamics in a continuous-discrete nonlinear system, as implemented in a multicore fiber (MCF) using one-dimensional (1D) and 2D core distribution designs. Large-scale numerical simulations were performed to determine the conditions of the most efficient coherent combining and compression of pulses injected into the considered MCFs. We demonstrate the possibility of combining in a single core 90% of the total energy of pulses initially injected into all cores of a 7-core MCF with a hexagonal lattice. A pulse compression factor of about 720 can be obtained with a 19-core ring MCF

Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions

The development in the study of supersymmetric many-particle quantum systems with inverse-square interactions is reviewed. The main emphasis is on quantum systems with dynamical OSp(2|2) supersymmetry. Several results related to exactly solved supersymmetric rational Calogero model, including shape invariance, equivalence to a system of free superoscillators and non-uniqueness in the construction of the Hamiltonian, are presented in some detail. This review also includes a formulation of pseudo-hermitian supersymmetric quantum systems with a special emphasis on rational Calogero model. There are quite a few number of many-particle quantum systems with inverse-square interactions which are not exactly solved for a complete set of states in spite of the construction of infinitely many exact eigen functions and eigenvalues. The Calogero-Marchioro model with dynamical SU(1,1|2) supersymmetry and a quantum system related to short-range Dyson model belong to this class and certain aspects of these models are reviewed. Several other related and important developments are briefly summarized.Comment: LateX, 65 pages, Added Acknowledgment, Discussions and References, Version to appear in Jouranl of Physics A: Mathematical and Theoretical (Commissioned Topical Review Article

Features of the effect of phytic acid on morphology of internal organs of rats

The purpose of the study was to study the influence of herbal supplements as the main diet and in a complex with a balanced diet on the morphology and metabolism in rats.Цель исследования — изучить влияние растительных пищевых добавок богатых фитиновой кислотой на морфологию внутренних органов и обмен веществ крыс

Superparticle Models with Tensorial Central Charges

A generalization of the Ferber-Shirafuji formulation of superparticle mechanics is considered. The generalized model describes the dynamics of a superparticle in a superspace extended by tensorial central charge coordinates and commuting twistor-like spinor variables. The D=4 model contains a continuous real parameter $a\geq 0$ and at a=0 reduces to the SU(2,2|1) supertwistor Ferber-Shirafuji model, while at a=1 one gets an OSp(1|8) supertwistor model of ref. [1] (hep-th/9811022) which describes BPS states with all but one unbroken target space supersymmetries. When 0<a<1 the model admits an OSp(2|8) supertwistor description, and when a>1 the supertwistor group becomes OSp(1,1|8). We quantize the model and find that its quantum spectrum consists of massless states of an arbitrary (half)integer helicity. The independent discrete central charge coordinate describes the helicity spectrum. We also outline the generalization of the a=1 model to higher space-time dimensions and demonstrate that in D=3,4,6 and 10, where the quantum states are massless, the extra degrees of freedom (with respect to those of the standard superparticle) parametrize compact manifolds. These compact manifolds can be associated with higher-dimensional helicity states. In particular, in D=10 the additional ``helicity'' manifold is isomorphic to the seven-sphere.Comment: 32 pages, LATEX, no figure