4,669 research outputs found

    On a modular property of N=2 superconformal theories in four dimensions

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    In this note we discuss several properties of the Schur index of N=2 superconformal theories in four dimensions. In particular, we study modular properties of this index under SL(2,Z) transformations of its parameters.Comment: 23 page, 2 figure

    Study of the luminescence properties of the oxygen-vacancy centers in irradiated AlN single crystals

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    ЦСлью Ρ€Π°Π±ΠΎΡ‚Ρ‹ являСтся ΠΈΠ·ΡƒΡ‡Π΅Π½ΠΈΠ΅ ΠΌΠ΅Ρ…Π°Π½ΠΈΠ·ΠΌΠΎΠ² Π»ΡŽΠΌΠΈΠ½Π΅ΡΡ†Π΅Π½Ρ†ΠΈΠΈ с участиСм Π΄Π΅Ρ„Π΅ΠΊΡ‚Π½Ρ‹Ρ… комплСксов Π½Π° основС кислородных примСсСй ΠΈ Π°Π·ΠΎΡ‚Π½Ρ‹Ρ… вакансий Π² Π½ΠΈΡ‚-Ρ€ΠΈΠ΄Π΅ алюминия послС воздСйствия ΠΈΠΎΠ½ΠΈΠ·ΠΈΡ€ΡƒΡŽΡ‰Π΅Π³ΠΎ излучСния. Для достиТСния поставлСнной Ρ†Π΅Π»ΠΈ Π±Ρ‹Π»ΠΈ Ρ€Π΅ΡˆΠ΅Π½Ρ‹ ΡΠ»Π΅Π΄ΡƒΡŽΡ‰ΠΈΠ΅ Π·Π°Π΄Π°Ρ‡ΠΈ: ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Ρ‹ ΡΠΏΠ΅ΠΊΡ‚Ρ€Π°Π»ΡŒΠ½Ρ‹Π΅ ΠΈ кинСтичСскиС ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€Ρ‹ для Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… ΠΌΠ΅Ρ…Π°Π½ΠΈΠ·ΠΌΠΎΠ² стимуляции Π² ΠΎΠ±Ρ€Π°Π·Ρ†Π°Ρ…; ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ Ρ„ΡƒΠ½Π΄Π°ΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Π΅ Π΄Π°Π½Π½Ρ‹Π΅ ΠΎ Ρ†Π΅Π½Ρ‚Ρ€Π°Ρ… свСчСния ΠΈ ΠΌΠ΅Ρ…Π°Π½ΠΈΠ·ΠΌΠ°Ρ… Π»ΡŽΠΌΠΈΠ½Π΅ΡΡ†Π΅Π½Ρ†ΠΈΠΈ Π² ΠΎΠ±ΡŠΠ΅ΠΌΠ½Ρ‹Ρ… монокристаллах AlN; ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½Π° ΠΎΡ†Π΅Π½ΠΊΠ° дозимСтричСских ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² монокристаллов AlN ΠΏΡ€ΠΈ использовании ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΈΠΊ оптичСски стимулированной Π»ΡŽΠΌΠΈΠ½Π΅ΡΡ†Π΅Π½Ρ†ΠΈΠΈ. Π’Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ΠΈΠ΅ заявлСнных исслСдований ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»ΠΎΠ² Π½Π° основС монокристалличСского Π½ΠΈΡ‚Ρ€ΠΈΠ΄Π° алюминия ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ ΠΏΠΎΠ»ΡƒΡ‡ΠΈΡ‚ΡŒ Π½ΠΎΠ²Ρ‹Π΅ Π½Π°ΡƒΡ‡Π½Ρ‹Π΅ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ ΠΌΠΎΠ³ΡƒΡ‚ Π±Ρ‹Ρ‚ΡŒ ΠΈΡΠΏΠΎΠ»ΡŒΠ·ΠΎΠ²Π°Π½Ρ‹ ΠΏΡ€ΠΈ создании Π±ΠΎΠ»Π΅Π΅ ΡΠΎΠ²Π΅Ρ€ΡˆΠ΅Π½Π½Ρ‹Ρ… Π΄Π΅Ρ‚Π΅ΠΊΡ‚ΠΎΡ€ΠΎΠ² для Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… Π·Π°Π΄Π°Ρ‡ ΠΏΠ΅Ρ€ΡΠΎΠ½Π°Π»ΡŒΠ½ΠΎΠΉ ΠΈ тСхничСской Π΄ΠΎΠ·ΠΈΠΌΠ΅Ρ‚Ρ€ΠΈΠΈ ΠΈΠΎΠ½ΠΈΠ·ΠΈΡ€ΡƒΡŽΡ‰ΠΈΡ… ΠΈΠ·Π»ΡƒΡ‡Π΅Π½ΠΈΠΉ. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ Ρ€Π°Π±ΠΎΡ‚Ρ‹ прСдставлСны Π½Π° XIV-ΠΎΠΉ ВсСроссийской ΡˆΠΊΠΎΠ»Ρ‹-сСминара ΠΏΠΎ ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΠ°ΠΌ Ρ„ΠΈΠ·ΠΈΠΊΠΈ кондСнсированного состояния вСщСства (Π•ΠΊΠ°Ρ‚Π΅Ρ€ΠΈΠ½Π±ΡƒΡ€Π³, 2013). Π’ настоящий ΠΌΠΎΠΌΠ΅Π½Ρ‚ готовится 1 ΡΡ‚Π°Ρ‚ΡŒΡ для ΠΏΡƒΠ±Π»ΠΈΠΊΠ°Ρ†ΠΈΠΈ Π² ΠΎΠ΄Π½ΠΎΠΌ ΠΈΠ· Ρ€Π΅Ρ„Π΅Ρ€ΠΈΡ€ΡƒΠ΅ΠΌΡ‹Ρ… иностранных ΠΆΡƒΡ€Π½Π°Π»ΠΎΠ². ΠšΡ€ΠΎΠΌΠ΅ Ρ‚ΠΎΠ³ΠΎ Π² Ρ€Π°ΠΌΠΊΠ°Ρ… выполнСния Π½Π°ΡƒΡ‡Π½ΠΎ-ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Ρ‚Π΅Π»ΡŒΡΠΊΠΎΠΉ Ρ€Π°Π±ΠΎΡ‚Ρ‹ Π±Ρ‹Π»ΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ Π΄ΠΎΠΏΠΎΠ»Π½ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Π΅ ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Π΅ Π΄Π°Π½Π½Ρ‹Π΅, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΈ Π½Π°ΠΏΠΈΡΠ°Ρ‚ΡŒ ΠΎΠ΄Π½Ρƒ ΠΈΠ· Π³Π»Π°Π² диссСртации.The aim is to study the luminescence mechanisms with participation of the defect complexes on the basis of oxygen impurities and nitrogen vacancies in the aluminum nitride after exposure to ionizing radiation. To achieve this purpose the following objectives have been solved: defined spectral and kinetic parameters for the different mechanisms of lumines-cence in the samples; obtained fundamental data on the luminescence centers and mechanisms of luminescence in AlN bulk single crystals; evaluated the dosimetric parameters of AlN single crystals by using optically stimulated luminescence techniques. Performance of applications for studies of materials based on aluminum nitride single crystal provided new scientific results that can be used to create improveddetectors for different tasks personal and technical dosimetry of ionizing radiation. The results of the work presented at the XIV All-Russian seminar on condensed matter physics (Ekaterinburg, 2013 ). Currently preparing one article for publication in a peer-reviewed international journal. Also as part of the research work has yielded experi-mental data that allowed to write one of the dissertation chapters.ΠŸΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΠ° развития Π£Ρ€Π€Π£ Π½Π° 2013 Π³ΠΎΠ΄ (ΠΏ.2.1.1.1

    S-duality and 2d Topological QFT

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    We study the superconformal index for the class of N=2 4d superconformal field theories recently introduced by Gaiotto. These theories are defined by compactifying the (2,0) 6d theory on a Riemann surface with punctures. We interpret the index of the 4d theory associated to an n-punctured Riemann surface as the n-point correlation function of a 2d topological QFT living on the surface. Invariance of the index under generalized S-duality transformations (the mapping class group of the Riemann surface) translates into associativity of the operator algebra of the 2d TQFT. In the A_1 case, for which the 4d SCFTs have a Lagrangian realization, the structure constants and metric of the 2d TQFT can be calculated explicitly in terms of elliptic gamma functions. Associativity then holds thanks to a remarkable symmetry of an elliptic hypergeometric beta integral, proved very recently by van de Bult.Comment: 25 pages, 11 figure

    Comparative analysis of the old and new versions of GOST 7.32

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    On July 1, 2018, a new edition of GOST 7.32–2017 Β«The Report on Scientific Research. Structure and rules of registrationΒ». Modern possibilities of document circulation in electronic and paper form and updated requirements for design are presented in this version. In this article, the distinctive features of the old and new versions of the standard are presentedΠ‘ 1 июля 2018 Π³ΠΎΠ΄Π° Π² силу вступаСт новая рСдакция Π“ΠžΠ‘Π’ 7.32–2017 Β«ΠžΡ‚Ρ‡Π΅Ρ‚ ΠΎ Π½Π°ΡƒΡ‡Π½ΠΎ-ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Ρ‚Π΅Π»ΡŒΡΠΊΠΎΠΉ Ρ€Π°Π±ΠΎΡ‚Π΅. Π‘Ρ‚Ρ€ΡƒΠΊΡ‚ΡƒΡ€Π° ΠΈ ΠΏΡ€Π°Π²ΠΈΠ»Π° оформлСния». Π’ ΡƒΠΊΠ°Π·Π°Π½Π½ΠΎΠΉ вСрсии ΡƒΡ‡Ρ‚Π΅Π½Ρ‹ соврСмСнныС возмоТности Π΄ΠΎΠΊΡƒΠΌΠ΅Π½Ρ‚ΠΎΠΎΠ±ΠΎΡ€ΠΎΡ‚Π° Π² элСктронном ΠΈ Π±ΡƒΠΌΠ°ΠΆΠ½ΠΎΠΌ Π²ΠΈΠ΄Π΅, Π°ΠΊΡ‚ΡƒΠ°Π»ΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Π½Ρ‹ ΠΈ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½Ρ‹ ΡΡƒΡ‰Π΅ΡΡ‚Π²ΡƒΡŽΡ‰ΠΈΠ΅ трСбования ΠΊ ΠΎΡ„ΠΎΡ€ΠΌΠ»Π΅Π½ΠΈΡŽ. Π’ настоящСй Ρ€Π°Π±ΠΎΡ‚Π΅ ΠΏΡ€ΠΈΠ²Π΅Π΄Π΅Π½Ρ‹ ΠΎΡ‚Π»ΠΈΡ‡ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Π΅ Ρ‡Π΅Ρ€Ρ‚Ρ‹ старой ΠΈ Π½ΠΎΠ²ΠΎΠΉ Ρ€Π΅Π΄Π°ΠΊΡ†ΠΈΠΉ стандарт

    Systems with Higher-Order Shape Invariance: Spectral and Algebraic Properties

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    We study a complex intertwining relation of second order for Schroedinger operators and construct third order symmetry operators for them. A modification of this approach leads to a higher order shape invariance. We analyze with particular attention irreducible second order Darboux transformations which together with the first order act as building blocks. For the third order shape-invariance irreducible Darboux transformations entail only one sequence of equidistant levels while for the reducible case the structure consists of up to three infinite sequences of equidistant levels and, in some cases, singlets or doublets of isolated levels.Comment: 18 pages, LaTeX, editorial page is remove

    Index for Three Dimensional Superconformal Field Theories and Its Applications

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    We review aspects of superconformal indices in three dimension. Three dimensional superconformal indices can be exactly computed by using localization method including monopole contribution, and can be applied to provide evidences for mirror duality, AdS_4/CFT_3 correspondence and global symmetry enhancement of strongly coupled gauge theories. After reviewing, we discuss the possibility of global symmetry enhancement in a finite rank of gauge group.Comment: 14 pages, Proceedings of the Seventh International Conference Quantum Theory and Symmetries (QTS-7) in Prague, Czech Republic, August, 2011; v2: minor modifications, discussion of supersymmetry enhancement of abelian ABJM theory by using an index were adde

    Spectrally resolved thermoluminescence in UV excited hexagonal boron nitride nanopowder

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    Thermally stimulated luminescence (TSL) excitation and emission processes in h-BN nanopowders after UV irradiation were studied. TSL showed the highest response within the 5.4 eV band. 3.0 and 3.9 eV bands, resulting from the radiative donor-acceptor recombination between the electron (1B-H O N -centers) and the hole traps (CN-center), were found. TSL curves quantitative analysis in the context of general order kinetics was made. It was shown that 1B-centers had 0.850.05 eV activation energy and were responsible for the TSL peak at 35010 K. Band structure for TSL excitation and emission mechanisms in h-BN nanopowder was suggested. Β© Published under licence by IOP Publishing Ltd
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