Stability of Landau-Ginzburg branes

We evaluate the ideas of Pi-stability at the Landau-Ginzburg point in moduli space of compact Calabi-Yau manifolds, using matrix factorizations to B-model the topological D-brane category. The standard requirement of unitarity at the IR fixed point is argued to lead to a notion of "R-stability" for matrix factorizations of quasi-homogeneous LG potentials. The D0-brane on the quintic at the Landau-Ginzburg point is not obviously unstable. Aiming to relate R-stability to a moduli space problem, we then study the action of the gauge group of similarity transformations on matrix factorizations. We define a naive moment map-like flow on the gauge orbits and use it to study boundary flows in several examples. Gauge transformations of non-zero degree play an interesting role for brane-antibrane annihilation. We also give a careful exposition of the grading of the Landau-Ginzburg category of B-branes, and prove an index theorem for matrix factorizations.Comment: 46 pages, LaTeX, summary adde

Semiorthogonal decompositions of derived categories of equivariant coherent sheaves

Let X be an algebraic variety with an action of an algebraic group G. Suppose X has a full exceptional collection of sheaves, and these sheaves are invariant under the action of the group. We construct a semiorthogonal decomposition of bounded derived category of G-equivariant coherent sheaves on X into components, equivalent to derived categories of twisted representations of the group. If the group is finite or reductive over the algebraically closed field of zero characteristic, this gives a full exceptional collection in the derived equivariant category. We apply our results to particular varieties such as projective spaces, quadrics, Grassmanians and Del Pezzo surfaces.Comment: 28 pages, uses XY-pi

Structure of 2-Methyl-5,6,7-triphenyl-6,7-dihydropyrazolo[2,3-\u3cem\u3ea\u3c/em\u3e]pyrimidine

C25H21N3, Mr = 363.46, monoclinic, P21/n, a = 9.245 (2), b = 23.502 (5), c = 9.340 (2) Å, β= 103.50(3)°, V=1973.3(2) Å3, Z=4, Dx= 1.220 (2) g cm-3, λ (Mo Kα )= 0.71069 Å, μ = 0.068 cm-1, F(000) = 768, T= 292 K, R = 0.091 for 1442 unique observed reflections. The dihydropyrimidine ring adopts a distorted sofa conformation. The aryl substituents on the saturated C atoms have an axial orientation

Синтез та N-алкілування діетил 4,7-дигідроазоло[1,5-a]піримідин-5,6-дикарбоксилатів

It has been shown that the ternary condensation of oxaloacetic ester (diethyl 2-oxosuccinate), aromatic aldehydes and 3-amino-1,2,4-triazole or 5-aminotetrazole in dimethylformamide results in formation of the corresponding diethyl 7-aryl-4,7-dihydroazolo[1,5-a]pyrimidin-5,6-dicarboxylates. By 1H NMR spectroscopy (according to the data of the chemical shifts of C(2)H-protons for the corresponding N(4)H- and N(4)-methylderivatives of 7-phenyl-4,7-dihydro[1,2,4]triazolo[1,5-a]pyrimidin-5,6-dicarboxylate) it has been found that alkylation of 4,7-dihydro[1,2,4]azolo[1,5-a]pyrimidin-5,6-dicarboxylates in the acetonitrile–saturated water alkali system leads selectively to formation of N(4)-alkyl derivatives. Both the starting compounds obtained and their N(4)-methylsubstituted analogues together with relative diethyl 4-aryl-3,4-dihydropyrimidin-2(1H)-on-5,6-dicarboxylates, 6-unsubstituted 4-aryl-3,4-dihydropyrimidin-2(1H)-on-5-dicarboxylates and the derivatives of 6-COR-7-aryl-4,7-dihydro[1,2,4] triazolo[1,5-a]pyrimidines are the promising objects for studying benzyl C(7)-functionalization of 4,7-dihydroazolo 1,5-a]pyrimidines, as well as of reactions associated with the presence of double C=C-bonds activated by two electron withdrawing groups. Obtaining of the key N(4)H- and N(4)Me-derivatives of 7-phenyl-4,7-dihydro[1,2,4] triazolo- and tetrazolo[1,5-a]pyrimidin-5,6-dicarboxylates also opens the way to the research of biological properties of the compounds of this class. It is noteworthy that being a three-component one the reaction studied, without any doubts, are appropriate for the synthesis of the derivatives of 7-aryl-4,7-dihydro[1,2,4]triazolo- and tetrazolo[1,5-a]pyrimidines containing two electron withdrawing substituents in positions 5 and 6.Показано, что трехкомпонентная конденсация щавелевоуксусного эфира (диэтил 2-оксосукцината), ароматических альдегидов и 3-амино-1,2,4-триазола или 5-аминотетразола в диметилформамиде приводит к образованию соответствующих диэтил 7-арил-4,7-дигидроазоло[1,5-a]пиримидин-5,6-дикарбоксилатов. С помощью 1Н ЯМР-спектроскопии (по данным химических сдвигов сигналов протонов С(2)H для соответствующих N(4)H- и N(4)Ме-производных диэтил 7-фенил-4,7-дигидро[1,2,4]триазоло[1,5-a] пиримидин-5,6-дикарбоксилата) установлено, что алкилирование 7-арил-4,7-дигидроазоло[1,5-a]пиримидин-5,6-дикарбоксилатов в системе ацетонитрил-насыщенная водная щелочь селективно приводит к образованию N(4)-алкилпроизводных. Как полученные исходные соединения, так и их N(4)-метилзамещенные аналоги наряду с родственными диэтил 4-арил-3,4-дигидропиримидин-2(1Н)-он-5,6-дикарбоксилатами, 6-незамещенными этил 4-арил-3,4-дигидропиримидин-2(1Н)-он-5-карбоксилатами и производными 6-COR-7-арил-4,7-дигидро[1,2,4]триазоло[1,5-a]пиримидинов являются перспективными объектами для изучения бензильной С(7)-функционализации 4,7-дигидроазоло[1,5-a]пиримидинов, а также реакций, связанных с наличием двойной C=C-связи, активированной двумя акцепторными группами. Получение ключевых N(4)H- и N(4)Ме-производных 7-фенил-4,7-дигидро[1,2,4]триазоло- и тетразоло[1,5-a]пиримидин-5,6-дикарбоксилатов также открывает путь к биологическим исследованиям соединений этого класса. Заметим, что исследованная реакция, являясь трехкомпонентной, безусловно подходит для синтеза и исследования комбинаторных библиотек производных 7-арил-4,7-дигидро[1,2,4]триазоло- и тетразоло[1,5-a]пиримидинов, содержащих два электроноакцепторных заместителя в положениях 5 и 6.Показано, що трикомпонентна конденсація щавлевооцтового естеру (діетил 2-оксосукцинату), ароматичних альдегідів та 3-аміно-1,2,4-триазолу або 5-амінотетразолу в диметилформаміді призводить до утворення відповідних діетил 4,7-дигідроазоло[1,5-a]піримідин-5,6-дикарбоксилатів. За допомогою 1Н ЯМР-спектроскопії (за даними про хімічні зсуви сигналів протонів С(2)Н для відповідних N(4)H- та N(4)Me-похідних діетил 7-феніл-4,7-дигідро[1,2,4]триазоло[1,5-a]піримідин-5,6-дикарбоксилатів) вста-новлено, що алкілування 4,7-дигідроазоло[1,5-a]піримідин-5,6-дикарбоксилатів у системі ацетонітрилнасичений водний луг селективно призводить до утворення N(4)-алкілпохідних. Як отримані вихідні сполуки, так і їхні N(4)-метилзаміщені аналоги поряд зі спорідненими діетил 4-арил-3,4-дигідропіримідин-2(1Н)-он-5,6-дикарбоксилатами, 6-незаміщеними етил 4-арил-3,4-дигідропіримідин-2(1Н)-он-5-карбоксилатами та похідними 6-COR-7-арил-4,7-дигідро[1,2,4]триазоло[1,5-a]піримідинів є перспективними об’єктами для вивчення бензильної С(7)-функціоналізації 4,7-дигідроазоло[1,5-a]піримідинів, а також реакцій, пов’язаних з наявністю подвійного C=C-зв’язку, активованого двома акцепторними групами. Отримання ключових N(4)H- і N(4)Ме-похідних 7-феніл-4,7-дигідро[1,2,4]триазоло- та тетразоло[1,5-a]піримідин-5,6-дикарбоксилатів також відкриває шлях до біологічних досліджень сполук цього класу. Відзначимо, що досліджена реакція, будучи трикомпонентною, безумовно підходить для синтезу та дослідження комбінаторних бібліотек похідних 7-арил-4,7-дигідро[1,2,4]триазоло- та тетразоло[1,5-a]піримідинів, що містять два електроноакцепторні замісники у положеннях 5 та 6

Bound, virtual and resonance SS-matrix poles from the Schr\"odinger equation

A general method, which we call the potential $S$-matrix pole method, is developed for obtaining the $S$-matrix pole parameters for bound, virtual and resonant states based on numerical solutions of the Schr\"odinger equation. This method is well-known for bound states. In this work we generalize it for resonant and virtual states, although the corresponding solutions increase exponentially when $r\to\infty$. Concrete calculations are performed for the $1^+$ ground and the $0^+$ first excited states of $^{14}\rm{N}$, the resonance $^{15}\rm{F}$ states ($1/2^+$, $5/2^+$), low-lying states of $^{11}\rm{Be}$ and $^{11}\rm{N}$, and the subthreshold resonances in the proton-proton system. We also demonstrate that in the case the broad resonances their energy and width can be found from the fitting of the experimental phase shifts using the analytical expression for the elastic scattering $S$-matrix. We compare the $S$-matrix pole and the $R$-matrix for broad $s_{1/2}$ resonance in ${}^{15}{\rm F}$Comment: 14 pages, 5 figures (figures 3 and 4 consist of two figures each) and 4 table

Risk factors and clinical and neurological consequences of intraoperative rupture of brain aneurysms in microsurgical operations

Objective. to assess the frequency, risk factors and clinical and neurological consequences of intraoperative rupture of arterial aneurysm (AA) of the brain (B) in clipping operations of the B AA . Materials and approaches. A retrospective analysis of microsurgical operations clipping of cerebral aneurysms in 1449 (100%) patients for the period from 2011 to 2018 was performed, of which 141 (9.73%) cases had intraoperative rupture of the aneurysm (IORA). Preoperative examination: clinical and neurological examination, CT of the brain, cerebral angiography( CAG), duplex scanning of the main vessels of the head and neck. The analyzed criteria are risk factors of IORA: AA size, localization, shape, duration of surgery after the primary rupture of AA, the presence of hypertension and the patient's condition before surgery. Results. The frequency of IORA in clipping operations of B AA was 9.73% (141 patients) in a series of observations 1441 (100%). Most often IORA-141 (100%) was registered in clipping operations of AA of complex ACA-AcomA (86 (61%) cases out of 141 (100%)). IORA is possible at all stages of the operation with the maximum frequency of contact breaks – 135 (95.74%); the rarest-6 ( 4.26%)  -  non - contact IORA (at the stage of craniotomy)  was recorded. At the preoperative stage, the vast majority of patients with subsequent IORA were diagnosed with cerebral edema, AA of large size, atherosclerotic changes in the aneurysm-affected segment of the artery and cervical areas of the aneurysm, high blood pressure during surgery, adhesive arachnoid changes. At the time of discharge from the hospital, according to the Glasgow results scale: 69 (48.94%) full or partial restoration of labor activity, 18 (12.77%) had limited daily activities without the need for outside assistance, 37 (26 24%) deep disability ) Deaths were in the group of "contact" IORA -  17 (12.06%). At 6 ( 4.26%) of "non-contact" IORA,  a deepening of initial neurological symptoms was recorded with a suppression of the level of consciousness, the addition of pyramidal insufficiency, speech impairment and psycho-organic syndrome, and a deepening of the phenomena of initial cerebral arterial vasospasm. Conclusions. IORA is predominantly in contact with a frequency of occurrence-9.73 %. The most common risk factors for IORA were: cerebral edema, large AA, atherosclerotic changes in the aneurysm-affected artery segment and cervical aneurysm sites, high blood pressure during surgery, adhesions arachnoid changes. IORA leads to deepening of initial neurological symptoms, phenomena of initial vasospasm of cerebral arteries with the level of total mortality-17 (12.06%)

Anisotropic fragmentation in low-energy dissociative recombination

On a dense energy grid reaching up to 75 meV electron collision energy the fragmentation angle and the kinetic energy release of neutral dissociative recombination fragments have been studied in a twin merged beam experiment. The anisotropy described by Legendre polynomials and the extracted rotational state contributions were found to vary on a likewise narrow energy scale as the rotationally averaged rate coefficient. For the first time angular dependences higher than 2$^{nd}$ order could be deduced. Moreover, a slight anisotropy at zero collision energy was observed which is caused by the flattened velocity distribution of the electron beam.Comment: 8 pages, 4 figures; The Article will be published in the proceedings of DR 2007, a symposium on Dissociative Recombination held in Ameland, The Netherlands (18.-23. July 2008); Reference 19 has been published meanwhile in S. Novotny, PRL 100, 193201 (2008

Age and growth of blue Antimora Antimora rostrata (Moridae) in Southwestern Greenland waters

The results of determination of age and study on growth of blue antimora Antimora rostrata from the waters of Southwestern Greenland are presented. The results are based on the analysis of 200 fish otoliths. In the catches, we found specimens of antimora with total lengths of 18−70 cm, body weights of 23−2731 g, at the age of 7−38 years. Minimal age of males (not considering juvenile individuals) was 10 years at body length of 27−33 cm; maximal age was 18 years at 42 cm. Minimal age of females was 9 years at length of 21–27 cm; maximal age was 38 years at 70 cm. The rate of linear growth in blue antimora from Southwestern Greenland waters is comparable to that in the fish from New Zealand and Ross Sea waters but considerably lower than indicated earlier for fish from the waters of Iceland, Greenland, and the Mid-Atlantic Ridge. The age of reaching sexual maturity in males and females is preliminary determined as 15 and 19−20 years, respectively

Growth and age of the roughhead grenadier Macrourus berglax in waters off Southwest Greenland

Data on the age and growth of the roughhead grenadier Macrourus berglax from waters off Southwest Greenland have been obtained based on the analysis of otoliths. Specimens with a preanal length of 5−39 cm, a weight of 7−5275 g, and age from 2 to 22 years are recorded in trawl catches. Roughhead grenadier exhibits a similar rate of linear growth in waters off Southwest Greenland and other parts of the range in the Northwest Atlantic. No considerable differences from the rate of the linear growth calculated earlier from scales for the species in waters off West Greenland have been found. In the recent period, the rate of weight gain in roughhead grenadier in waters off Southwest Greenland has been lower than in the Northwest Atlantic in the first half of the 1980s. The age of mass maturation in males (7–9 years) and females (16–17 years) in waters off West and East Greenland is somewhat higher than in coastal waters of Norway and the Northwest Atlantic

Big data analytics for continuous assessment of astronaut health risk and its application to human-in-the-loop (HITL) related aerospace

© 2017, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved. The man-instrumentation-equipment-vehicle-environment ecosystem is complex in aerospace missions. Health status of the individual has important implications on decision making and performance that should be factored into assessments for probability of success/risk of failure both in offline and real-time models. To date probabilistic models have not considered the dynamic nature of health status. Big Data analytics is enabling new forms of analytics to assess health status in real-time. There is great potential to integrate dynamic health status information with platforms assessing risk and the probability of success for dynamic individualized real-time probabilistic predictive risk assessment. In this research we present an approach utilizing Big Data analytics to enable continuous assessment of astronaut health risk and show its implications for integration with HITL related aerospace mission