Asymptotically cylindrical 7-manifolds of holonomy G_2 with applications to compact irreducible G_2-manifolds

We construct examples of exponentially asymptotically cylindrical Riemannian 7-manifolds with holonomy group equal to G_2. To our knowledge, these are the first such examples. We also obtain exponentially asymptotically cylindrical coassociative calibrated submanifolds. Finally, we apply our results to show that one of the compact G_2-manifolds constructed by Joyce by desingularisation of a flat orbifold T^7/\Gamma can be deformed to one of the compact G_2-manifolds obtainable as a generalized connected sum of two exponentially asymptotically cylindrical SU(3)-manifolds via the method given by the first author (math.DG/0012189).Comment: 36 pages; v2: corrected trivial typos; v3: some arguments corrected and improved; v4: a number of improvements on presentation, paritularly in sections 4 and 6, including an added picture

Orbital quantization in the high magnetic field state of a charge-density-wave system

A superposition of the Pauli and orbital coupling of a high magnetic field to charge carriers in a charge-density-wave (CDW) system is proposed to give rise to transitions between subphases with quantized values of the CDW wavevector. By contrast to the purely orbital field-induced density-wave effects which require a strongly imperfect nesting of the Fermi surface, the new transitions can occur even if the Fermi surface is well nested at zero field. We suggest that such transitions are observed in the organic metal $\alpha$-(BEDT-TTF)$_2$KHg(SCN)$_4$ under a strongly tilted magnetic field.Comment: 14 pages including 4 figure

Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)

Теоретически показано, что астигматическое преобразование краевой дислокации (прямой линии нулевой интенсивности) n-го порядка формирует на двойном фокусном расстоянии от цилиндрической линзы n оптических эллиптических вихрей (винтовых дислокаций) с единичным топологическим зарядом, расположенных на прямой линии, перпендикулярной краевой дислокации, в точках, координаты которых являются корнями многочлена Эрмита n-го порядка. Орбитальный угловой момент краевой дислокации с астигматической фазой пропорционален n. We theoretically show that an astigmatic transformation of an nth-order edge dislocation (a zero-intensity straight line) produces n optical elliptical vortices (spiral dislocations) with unit topological charge at the double focal distance from the cylindrical lens, located on a straight line perpendicular to the edge dislocation, at points whose coordinates are the roots of an nth-order Hermite polynomial. The orbital angular momentum of the edge dislocation is proportional to the order n.Работа выполнена при поддержке Российского фонда фундаментальных исследований (грант 18-29-20003, параграф «Комплексная амплитуда поля с краевой дислокацией на двойном фокусном расстоянии»), Российского научного фонда (грант 18-19-00595, параграф «Орбитальный угловой момент»), а также Министерства науки и высшего образования РФ в рамках выполнения работ по Государственному заданию ФНИЦ «Кристаллография и фотоника» РАН (параграф «Моделирование»)

Manifestations of Higher Mental Functions in Actors in Virtual Reality

Background. The study of the professional activities of actors from the standpoint of modern psychological theories is an urgent task for psychology of art. In particular, the question of whether there is a significant difference in the functioning of cognitive processes in actors as a result of training in acting techniques is considered. The answer can be revealed not only by classical measurements of the development of higher mental functions using standardized methods, but also, to a large extent, by the assessment of cognitive abilities in special conditions of virtual reality. Objectives. The study is aimed at measuring success parameters for actors performing tasks to assess the level of cognitive functioning in virtual reality in comparison with a group of students who are not actors. Methods. During the experiment, the control (students who are not actors) and experimental (novice actors) groups were asked to complete tasks to assess the level of cognitive functioning in two-dimensional and virtual reality formats. In order to do this, the experiment participants first performed two-dimensional tests to assess visual attention and working memory, and then did tasks to assess attention and memory in the HTC Vive Pro virtual reality helmet in a special virtual environment “Upgrade VR”. Sample. Two groups of subjects took part in the experiment. The experimental group consisted of 10 students of the O. Tabakov School (average age 17 years). The control group included 20 subjects (18 women, 2 men, average age 18 years) — students of the Faculty of Psychology at Lomonosov Moscow State University. Results. Comparing the performance of actors before and after immersion in virtual reality on two-dimensional computerized task assessing working memory, no significant differences were found (t = –1.35, df = 9, p = 0.209). Also, no significant differences were found when comparing the results of actors performing tasks to assess attention parameters (t = –0.070, df = 9, p = 0.946). When comparing the results of actors and students in performing tasks in virtual reality, significant differences were revealed in the success of completing a spatial orientation task (t = –4.44, df = 28, p < 0.001) and a task assessing working memory (t = –2.34, df = 28, p = 0.027). In addition, significant differences were identified in the average success rates in completing two-dimensional tasks between actors and students before immersion in VR according to the results of the N-back technique (t = 2.4, df = 28, p < 0.023) and the SART technique (t = –3.95, df = 28, p < 0.001). Conclusions. The study revealed differences in parameters of cognitive functioning between actors and students, especially noticeable when performing tasks in virtual reality related to spatial orientation and working memory. The use of virtual reality allows you to simulate a stage situation and create training conditions for the development of cognitive skills, reactions to unexpected events and emotional expression of actors. The results of the study showed that the use of digital technologies in art opens up new opportunities for the creative process and for the construction of unique artistic images

Experimental investigation of the energy backflow in the tight focal spot

С помощью двух одинаковых микрообъективов с числовой апертурой 0,95 было экспериментально показано, что интенсивность на оптической оси в плоскости фокуса оптического вихря с топологическим зарядом 2 равна нулю для света с правой круговой поляризацией и ненулевая для света с левой круговой поляризацией. Подтверждением того, что в последнем случае на оптической оси существует обратный поток энергии, является наличие в центре измеренного потока энергии слабого локального максимума (пятна Араго), объясняемого дифракцией прямого потока энергии на круге диаметром 300 нм (соответствует диаметру трубки обратного потока энергии). Сравнивая численные и экспериментальные распределения интенсивности, возможно определить диаметр трубки обратного потока – он равен расстоянию между нулями интенсивности. Для числовой апертуры 0,95 и длины волны 532 нм диаметр трубки обратного потока равен 300 нм. Также экспериментально показано, что при фокусировке цилиндрического векторного пучка второго порядка линзой с числовой апертурой 0,95 возникает осесимметричный поток энергии с очень слабым максимумом в центре (пятно Араго). Такое распределение объясняется дифракцией прямого потока энергии на круглой области диаметром 300 нм, в которой поток энергии обратный. Это также является подтверждением присутствия обратного потока энергии на оптической оси. Using two identical microobjectives with a numerical aperture NA = 0.95, we experimentally demonstrate that the on-axis intensity near the tight focal spot of an optical vortex with a topological charge 2 is zero for right-handed circular polarization and nonzero for left-handed circular polarization. This serves to confirm that in the latter case there is a reverse energy flow on the optical axis, as testified by a very weak local maximum (the Arago spot) detected at the center of the measured energy flow distribution, caused by diffraction of the direct energy flow by a 300 nm circle (the diameter of a reverse energy flow tube). The comparison of numerical and experimental intensity distributions shows that it is possible to determine the diameter of the reverse energy flow "tube", which is equal to the distance between the adjacent intensity nulls. For NA = 0.95 and a 532 nm incident wavelength, the diameter of the on-axis reverse energy flow "tube" is measured to be 300 nm. It is also experimentally shown that when an optical beam with second-order cylindrical polarization is focused with a lens with NA = 0.95, there is a circularly symmetric energy flow in the focus with a very weak maximum in the center (the Arago spot), whose distribution is determined by diffraction of the direct energy flow by a 300 nm circular region, where the energy flow is reverse. This also confirms that in this case, there is a reverse energy flow on the optical axis.Работа выполнена при поддержке Российского научного фонда (грант 18-19-00595) в части «Эксперимент по обнаружению обратного потока в фокусе оптического вихря с круговой поляризацией», Российского фонда фундаментальных исследований (грант 18-29-20003) в части «Эксперимент по обнаружению обратного потока в фокусе поляризационного вихря второго порядка» и Министерства науки и высшего образования РФ в рамках выполнения работ по Государственному заданию ФНИЦ «Кристаллография и фотоника» РАН (соглашение 007-ГЗ/Ч3363/26) в части «Силы, действующие на наночастицу в обратном потоке энергии»

Orbital effect of a magnetic field on the low temperature state in the organic metal α\alpha-(BEDT-TTF)2_2KHg(SCN)4_4

The effect of pressure on the B--T phase diagram of $\alpha$-(BEDT-TTF)$_2$KHg(SCN)$_4$ is studied. The measured phase lines can be well described by a recent model of a charge-density wave system with varying nesting conditions. A remarkable increase of the transition temperature with magnetic field is found in a certain pressure and field range. We associate this result with a dramatic enhancement of the orbital effect of magnetic field due to a deterioration of the nesting conditions by pressure. Furthermore, we present data which can be interpreted as a first sign of field-induced charge-density waves.Comment: 9 pages, 5 figure

Active Galactic Nuclei at the Crossroads of Astrophysics

Over the last five decades, AGN studies have produced a number of spectacular examples of synergies and multifaceted approaches in astrophysics. The field of AGN research now spans the entire spectral range and covers more than twelve orders of magnitude in the spatial and temporal domains. The next generation of astrophysical facilities will open up new possibilities for AGN studies, especially in the areas of high-resolution and high-fidelity imaging and spectroscopy of nuclear regions in the X-ray, optical, and radio bands. These studies will address in detail a number of critical issues in AGN research such as processes in the immediate vicinity of supermassive black holes, physical conditions of broad-line and narrow-line regions, formation and evolution of accretion disks and relativistic outflows, and the connection between nuclear activity and galaxy evolution.Comment: 16 pages, 5 figures; review contribution; "Exploring the Cosmic Frontier: Astrophysical Instruments for the 21st Century", ESO Astrophysical Symposia Serie

Silicon and Germanium Nanostructures for Photovoltaic Applications: Ab-Initio Results

Actually, most of the electric energy is being produced by fossil fuels and great is the search for viable alternatives. The most appealing and promising technology is photovoltaics. It will become truly mainstream when its cost will be comparable to other energy sources. One way is to significantly enhance device efficiencies, for example by increasing the number of band gaps in multijunction solar cells or by favoring charge separation in the devices. This can be done by using cells based on nanostructured semiconductors. In this paper, we will present ab-initio results of the structural, electronic and optical properties of (1) silicon and germanium nanoparticles embedded in wide band gap materials and (2) mixed silicon-germanium nanowires. We show that theory can help in understanding the microscopic processes important for devices performances. In particular, we calculated for embedded Si and Ge nanoparticles the dependence of the absorption threshold on size and oxidation, the role of crystallinity and, in some cases, the recombination rates, and we demonstrated that in the case of mixed nanowires, those with a clear interface between Si and Ge show not only a reduced quantum confinement effect but display also a natural geometrical separation between electron and hole

Measurement of the W+W- Production Cross Section in ppbar Collisions at sqrt(s)=1.96 TeV using Dilepton Events

We present a measurement of the W+W- production cross section using 184/pb of ppbar collisions at a center-of-mass energy of 1.96 TeV collected with the Collider Detector at Fermilab. Using the dilepton decay channel W+W- -> l+l-vvbar, where the charged leptons can be either electrons or muons, we find 17 candidate events compared to an expected background of 5.0+2.2-0.8 events. The resulting W+W- production cross section measurement of sigma(ppbar -> W+W-) = 14.6 +5.8 -5.1 (stat) +1.8 -3.0 (syst) +-0.9 (lum) pb agrees well with the Standard Model expectation.Comment: 8 pages, 2 figures, 2 tables. To be submitted to Physical Review Letter

The geometry of dimensionally reduced anti-self-duality equations

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