Quite a Character: The Spectrum of Yang-Mills on S^3

We introduce a simple method to extract the representation content of the spectrum of a system with SU(2) symmetry from its partition function. The method is easily generalized to systems with SO(2,4) symmetry, such as conformal field theories in four dimensions. As a specific application we obtain an explicit generating function for the representation content of free planar Yang-Mills theory on S^3. The extension to N = 4 super Yang-Mills is also discussed.Comment: Based on a Brown University undergraduate thesis, 12 page

The monitoring of dirty electricity in A secondary school in kazan, republic of tatarstan, Russia

Electromagnetic fields from electronic equipment are detrimental environmental factors. Recently, a new type of electromagnetic pollution referred to as "dirty electricity" was discovered to affect human health. The current research measures levels of dirty electricity in one secondary school in Kazan, Republic of Tatarstan, Russia. A Microsurge II meter that measures high frequency transients and harmonics between 4 to 100 kHz (expressed as Graham-Stetzer units) was used in this study. Levels of dirty electricity were elevated in all areas of the school and the installation of Graham-Stetzer filters significantly reduced these levels. Taking into account the detrimental effects of the dirty electricity on human health, plugging one Graham-Stetzer filter into each classroom is highly recommended. © PSP Volume 18 - No 6. 2009

The Spectrum of Yang Mills on a Sphere

In this note, we determine the representation content of the free, large N, SU(N) Yang Mills theory on a sphere by decomposing its thermal partition function into characters of the irreducible representations of the conformal group SO(4,2). We also discuss the generalization of this procedure to finding the representation content of N=4 Super Yang Mills.Comment: 18 pages v2. references added. typos fixe

Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space

We develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the Stueckelberg auxiliary fields. The explicit form of the Lagrangians and the gauge transformation laws are found. The theory can be written in terms of gauge-invariant objects similar to the massless theories, thus allowing us to hope to use the same methods for investigation of interactions. In the massive spin 3 field example we are able to rewrite the Lagrangian using the new the so-called separated variables, so that the study of Lagrangian formulation reduces to finding the Lagrangian containing only half of the fields. The same construction takes places for arbitrary integer spin field as well. Further working in terms of separated variables, we build Lagrangian for arbitrary integer spin and write it in terms of gauge-invariant objects. Also, we demonstrate how to restore the full set of variables, thus receiving Lagrangian for the massive fields of arbitrary spin in the terms of initial fields.Comment: 12 page

Оценка индивидуально-психологических свойств человека в зависимости от конфигурационных изменений его лица

Introduction. The study examines the relationship between facial configuration and assessing personality traits. Objective determinants of interpersonal perception, such as facial types, a model’s age and gender, the mode and duration of exposure of facial photographs, etc., are well elaborated in domestic and foreign studies. However, questions remain about how facial structure and also the observer's personality characteristics determine the perception of individual psychological characteristics through facial photographs. Methods. The study employed the comparative analysis of evaluations of individual psychological characteristics by facial photographs by the scales of the Personal Differential Questionnaire in combination with multidirectional transformations of photographs of neutral faces. Results. A systematic variation of four configuration variables – location of the mouth and eyes, nose length, and pupillary distance – not only causes weak persistent impressions of joy or sadness, but also changes ideas about individual psychological traits. The induced joy was associated with the positive poles of the scales of the Personal Differential Questionnaire; the induced sadness was associated with the negative poles of its scales. Directional transformations had different impacts on ideas about the components of the implicit structure of personality – evaluation, potency, and activity. Extraversion was more often associated with female faces, while the perceived dominance/subordination – with male faces. The observed patterns modified under the influence of facial morphotypes and the observer’s self-assessment. Discussion. The research findings confirm an overgeneralization of weak emotional states when perceiving neutral faces and indicate a close association between overgeneralization and the observer’s self-concept. In conclusion: a multidirectional variation of the configuration variables of emotionally neutral faces selectively affects the perception of personality traits. The observer’s sympathy/antipathy and also his/her individual psychological features play a special role in assessing the personality characteristics through facial expressions.Введение. Исследуется связь между конфигурацией лица натурщика и представлениями стороннего наблюдателя о чертах его личности. Несмотря на то, что в работах отечественных и зарубежных исследователей весьма проработан вопрос об объективных детерминантах межличностной перцепции, например, типе лица, возрасте и поле натурщика, форме и длительности экспозиции фотоизображения человека и т. п., открытыми остаются вопросы о том, в какой степени восприятие индивидуально-психологических характеристик по фотоизображению лица человека детерминировано его структурой, а также личностными особенностями самого воспринимающего. Методы. В основе исследования лежит метод сопоставительного анализа оценок индивидуально-психологических свойств натурщиков, выполненных по шкалам методики «Личностный дифференциал», при разнонаправленных трансформациях фотоизображений спокойного лица. Результаты. Показано, что систематическое варьирование четырех конфигурационных признаков – расположения линии рта и глаз, длины носа и расстояния между зрачками не только вызывает слабые устойчивые впечатления радости либо грусти, но и меняет представление об индивидуально-психологических особенностях натурщиков. Индуцированная радость ассоциируется с положительными полюсами шкал методики «Личностный дифференциал», индуцированная грусть – с отрицательными. Направленные трансформации по-разному влияют на представления о компонентах имплицитной структуры личности – «оценке», «силе», «активности». В восприятии женских лиц чаще заметна экстравертированность, мужских лиц – доминирование/подчинение. Обнаруженные закономерности модифицируются под влиянием морфотипа лица и самооценки наблюдателя. Обсуждение результатов. Совокупность полученных данных подтверждает возможность сверхобобщений проявления слабых эмоциональных состояний на уровне восприятия мимически нейтрального лица и указывает на тесную связь сверхобобщений с Я-концепцией воспринимающей личности. В заключении делается вывод о том, что разнонаправленное варьирование конфигурационных признаков эмоционально нейтрального лица избирательно влияет на представление о личности натурщиков. Особую роль в оценке личностных особенностей человека по выражению его лица играет симпатия/антипатия наблюдателя к натурщику, а также индивидуально-психологические особенности наблюдателя

Indices for Superconformal Field Theories in 3,5 and 6 Dimensions

We present a trace formula for a Witten type Index for superconformal field theories in d=3,5 and 6 dimensions, generalizing a similar recent construction in d=4. We perform a detailed study of the decomposition of long representations into sums of short representations at the unitarity bound to demonstrate that our trace formula yields the most general index (i.e. quantity that is guaranteed to be protected by superconformal symmetry alone) for the corresponding superalgebras. Using the dual gravitational description, we compute our index for the theory on the world volume of N M2 and M5 branes in the large N limit. We also compute our index for recently constructed Chern Simons theories in three dimensions in the large N limit, and find that, in certain cases, this index undergoes a large N phase transition as a function of chemical potentials.Comment: a small typo corrected, 46 page

Deformed Oscillator Algebras and Higher-Spin Gauge Interactions of Matter Fields in 2+1 Dimensions

We formulate a non-linear system of equations which describe higher-spin gauge interactions of massive matter fields in 2+1 dimensional space-time and explain some properties of the deformed oscillator algebra which underlies this formulation. In particular we show that the parameter of mass $M$ of matter fields is related to the deformation parameter in this algebra.Comment: LaTex, 12 pages, no figures; Invited talk at the International Seminar Supersymmetry and Quantum Field Theory dedicated to the memory of Dmitrij V. Volkov; Kharkov, January 1997; to appear in the proceeding

The role of AmtB, GlnK and glutamine synthetase in regulation of transcription factor tnra in bacillus subtilis

The nitrogen is a macroelement for all alive cells, from bacteria to animals. Although NH3/NH4 are highly toxic to animal, they are the preferred source of nitrogen for the most microorganisms and are assimilated by glutamine synthetase in the GOGAT cycle. The nitrogen limitation triggers a number of regulatory processes and activates many genes, providing the utilizing of alternative nitrogen sources. In Bacillus subtilis the genes of nitrogen metabolism are regulated by the transcription factor TnrA. In a cells it is bound to AmtB-GlnK proteins, the interaction with Glutamine synthetase (GS) represses its DNA-binding activity. Here we show the lack of AmtB leads to the nitrogen deficiency in a cell and, consequently, the increased expression of TnrA-de-pendent genes. In the lack of GlnK the transcription factor TnrA is constitutive bound to GS, the TnrA activity is repressed even under nitrogen limit conditions. Apparently, the TnrA activity is subjected to permanent repression by GS. In the absence of GS, the TnrA activity is strongly higher in compare to control, even under nitrogen limitation, when GS is active. These data allow to suggest that TnrA activity is regulated by the competitive binding to GlnK and GS