Irreducibility of fusion modules over twisted Yangians at generic point

With any skew Young diagram one can associate a one parameter family of "elementary" modules over the Yangian \Yg(\g\l_N). Consider the twisted Yangian \Yg(\g_N)\subset \Yg(\g\l_N) associated with a classical matrix Lie algebra \g_N\subset\g\l_N. Regard the tensor product of elementary Yangian modules as a module over \Yg(\g_N) by restriction. We prove its irreducibility for generic values of the parameters.Comment: Replaced with journal version, 18 page

Twisting adjoint module algebras

Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on non-commutative space-time are considered.Comment: 16 page

Critical thermodynamics of three-dimensional MN-component field model with cubic anisotropy from higher-loop \epsilon expansion

The critical thermodynamics of an $MN$-component field model with cubic anisotropy relevant to the phase transitions in certain crystals with complicated ordering is studied within the four-loop \ve expansion using the minimal subtraction scheme. Investigation of the global structure of RG flows for the physically significant cases M=2, N=2 and M=2, N=3 shows that the model has an anisotropic stable fixed point with new critical exponents. The critical dimensionality of the order parameter is proved to be equal to $N_c^C=1.445(20)$, that is exactly half its counterpart in the real hypercubic model.Comment: 9 pages, LaTeX, no figures. Published versio

Quantum sphere S^4 as a non-Levi conjugacy class

We construct a U_h(sp(4))-equivariant quantization of the four-dimensional complex sphere S^4 regarded as a conjugacy class, Sp(4)/Sp(2)x Sp(2), of a simple complex group with non-Levi isotropy subgroup, through an operator realization of the quantum polynomial algebra C_h[S^4] on a highest weight module of U_h(sp(4)).Comment: 17 pages, no figure

Universal R-matrix for null-plane quantized Poincar{\'e} algebra

The universal ${\cal R}$--matrix for a quantized Poincar{\'e} algebra ${\cal P}(3+1)$ introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non-standard (Jordanian) quantization of $sl(2)$.Comment: 9 pages, LaTeX, no figures. The example on page 5 has been supplemented with the full descriptio

Critical behavior of certain antiferromagnets with complicated ordering: Four-loop \ve-expansion analysis

The critical behavior of a complex N-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is studied in the framework of the four-loop renormalization group (RG) approach in (4-\ve) dimensions. By using dimensional regularization and the minimal subtraction scheme, the perturbative expansions for RG functions are deduced and resummed by the Borel-Leroy transformation combined with a conformal mapping. Investigation of the global structure of RG flows for the physically significant cases N=2 and N=3 shows that the model has an anisotropic stable fixed point governing the continuous phase transitions with new critical exponents. This is supported by the estimate of the critical dimensionality $N_c=1.445(20)$ obtained from six loops via the exact relation $N_c={1/2} n_c$ established for the complex and real hypercubic models.Comment: LaTeX, 16 pages, no figures. Expands on cond-mat/0109338 and includes detailed formula

New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop \epsilon expansions

A new approach to summation of divergent field-theoretical series is suggested. It is based on the Borel transformation combined with a conformal mapping and does not imply the exact asymptotic parameters to be known. The method is tested on functions expanded in their asymptotic power series. It is applied to estimating the critical exponent values for an N-vector field model, describing magnetic and structural phase transitions in cubic and tetragonal crystals, from five-loop \epsilon expansions.Comment: 9 pages, LaTeX, 3 PostScript figure

On dynamical adjoint functor

We give an explicit formula relating the dynamical adjoint functor and dynamical twist over nonalbelian base to the invariant pairing on parabolic Verma modules. As an illustration, we give explicit $U(sl(n))$- and $U_\hbar(sl(n))$-invariant star product on projective spaces

Optimization of Hypoxic Brain Injuries Diagnostics in Full-Term Newborns

The problem of early diagnosis of the central nervous system damage in newborn before the onset of clinical symptoms remains relevant at the present time.The aim of the study was to optimize the hypoxic brain damage diagnosis in full-term newborns by analyzing the concentration of cytokines in the umbilical cord blood.Materials and methods. During the first stage of the study, a prospective analysis of concentrations of interleukins (IL-1β, IL-4, IL-6, IL-8, IL-10), TNF-α and neuron-specific enolase (NSE) in the umbilical cord blood serum of full-term newborns was performed. The second stage of the study included the retrospective analysis of clinical data and instrumental research methods. The main method for diagnosing in the development of hypoxic brain damage in newborns was neurosonography.Results. The development of hypoxic brain damage is evidenced by the concentration of IL-1β over 30.3 pg/ml, IL-4 – over 1.7 pg/ml, IL-6 – over 79.4 pg/ml, IL-8 – over 107.7 pg/ml, NSE – more than 10.3 ng/ml and TNF-α – more than 1.6 pg/ml in umbilical cord blood.Conclusion. The results of the study confirmed that the comprehensive assessment of the cytokines concentration in the umbilical cord blood improves the hypoxic brain damage diagnosis in newborns. Analysis of the level of these markers immediately after the birth will optimize the management tactics of newborns who have undergone hypoxic exposure in antenatal and intranatal period

Power hardware-in-loop emulation of a battery for charging systems and grid applications

Relevance. Batteries are playing an increasingly vital role in power systems due to their utilization in various applications including microgrids, electric vehicles, sustaining geographically isolated communities, and energization of automated devices. Since they are considered as the enabling technology for renewable energy integration, the absence of battery systems from islanded microgrids can result in decreased system reliability and compromised performance due to the intermittency of local sources. Nevertheless, the hazardousness associated with their charging mechanism has led to the urgent continuous development of charging technologies and battery management systems. Aim. To develop a safe testbed to examine the functionality of newly produced battery charging stations and battery managers without employing actual physical batteries to avoid the hazardous manipulation of batteries and increase flexibility during the design and validation stage. This is accomplished by modeling the electrochemical dynamics of the battery system and integrating the device-under-test to a DC converter, which reacts based on these modeled dynamics. Novelty. This work adapts one of the most successful Li-ion battery models available in the literature and utilizes it to interact with power electronic devices that exchange power signals. Unlike other work in this field, the design is based on power hardware-in-loop principles and has minimized power consumption characteristics due to its unique configuration. The constructed computer model can be easily reparametrized to describe the dynamics of various battery capacities. Methods. MATLAB-based simulations of the proposed testbed were conducted for high and low power capacity. A LabView-based program was interfaced with the testbed hardware using a NI-DAQ board to validate the proposed design practically. The testbed hardware components were entirely developed from scratch for experimentation purposes. Results. The proposed testbed successfully imitated the dynamics of the battery, while the practical results concurred the simulated ones