Superconformal symmetry in the interacting theory of (2,0) tensor multiplets and self-dual strings

We investigate the concept of superconformal symmetry in six dimensions, applied to the interacting theory of (2,0) tensor multiplets and self-dual strings. The action of a superconformal transformation on the superspace coordinates is found, both from a six-dimensional perspective and by using a superspace with eight bosonic and four fermionic dimensions. The transformation laws for all fields in the theory are derived, as well as general expressions for the transformation of on-shell superfields. Superconformal invariance is shown for the interaction of a self-dual string with a background consisting of on-shell tensor multiplet fields, and we also find an interesting relationship between the requirements of superconformal invariance and those of a local fermionic kappa-symmetry. Finally, we try to construct a superspace analogue of the Poincare dual to the string world-sheet and consider its properties under superconformal transformations.Comment: 31 pages, LaTeX. v2: clarifications and minor correction

Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves

This is a manuscript containing the full proofs of results announced in [KW], together with some recent updates. We prove that the Nazarov-Sodin constant, which up to a natural scaling gives the leading order growth for the expected number of nodal components of a random Gaussian field, genuinely depends on the field. We then infer the same for "arithmetic random waves", i.e. random toral Laplace eigenfunctions.Comment: 27 pages, 6 figures. To appear in Advances in Mathematic

On probability measures arising from lattice points on circles

A circle, centered at the origin and with radius chosen so that it has non-empty intersection with the integer lattice $\mathbb{Z}^{2}$, gives rise to a probability measure on the unit circle in a natural way. Such measures, and their weak limits, are said to be attainable from lattice points on circles. We investigate the set of attainable measures and show that it contains all extreme points, in the sense of convex geometry, of the set of all probability measures that are invariant under some natural symmetries. Further, the set of attainable measures is closed under convolution, yet there exist symmetric probability measures that are not attainable. To show this, we study the geometry of projections onto a finite number of Fourier coefficients and find that the set of attainable measures has many singularities with a "fractal" structure. This complicated structure in some sense arises from prime powers - singularities do not occur for circles of radius $\sqrt{n}$ if $n$ is square free.Comment: 42 pages, 5 figure

Value distribution for eigenfunctions of desymmetrized quantum maps

We study the value distribution and extreme values of eigenfunctions for the ``quantized cat map''. This is the quantization of a hyperbolic linear map of the torus. In a previous paper it was observed that there are quantum symmetries of the quantum map - a commutative group of unitary operators which commute with the map, which we called ``Hecke operators''. The eigenspaces of the quantum map thus admit an orthonormal basis consisting of eigenfunctions of all the Hecke operators, which we call ``Hecke eigenfunctions''. In this note we investigate suprema and value distribution of the Hecke eigenfunctions. For prime values of the inverse Planck constant N for which the map is diagonalizable modulo N (the ``split primes'' for the map), we show that the Hecke eigenfunctions are uniformly bounded and their absolute values (amplitudes) are either constant or have a semi-circle value distribution as N tends to infinity. Moreover in the latter case different eigenfunctions become statistically independent. We obtain these results via the Riemann hypothesis for curves over a finite field (Weil's theorem) and recent results of N. Katz on exponential sums. For general N we obtain a nontrivial bound on the supremum norm of these Hecke eigenfunctions

Revolutionary insurgencies, paradigmatic cases

This essay will examine and compare the production of women's writing during and after the Nicaraguan and Cuban Revolutions, a corpus that includes novels, poetry, and testimonies, but also features considerable generic hybridity. Since both revolutions are separated by some twenty years, each must be understood in the context of the specific ideological conditions that framed women’s participation in culture and revolution, and must also be considered in light of evolving gender discourses, both national and international. As such, these texts respond to both local and transnational paradigms of feminine subjectivity, and highlight the particular problems that arise from women’s insertion into the revolution and its representation in literature. These writers also have to negotiate the evolving context of revolution itself, with its moments of euphoria and disenchantment – and it is here that the greatest contrasts can be found between the two revolutionary instances and their political features: whilst Cuba’s revolutionary process has somehow survived economic crisis and created a level of political stability and continuity (not without its own problems), the Nicaraguan case is characterised by ruptures and resentments which are clearly reflected in the work of writers before, during, and after the Sandinista revolution, and which continue to the present day. This chapter will address the work of the most prominent woman writer of the Nicaraguan revolution, Gioconda Belli, whose main work reflects her involvement in the Sandinista struggle; ex-commander Mónica Baltodano has recently compiled a four volume piece with testimonials of men and women who participated in the organization and actions led by the Frente Sandinista de Liberación Nacional, and Violeta Barrios de Chamorro, former president of Nicaragua, who has recently co-authored an autobiography. There are other women poets to consider, especially under the auspices of the Asociación de Mujeres Nicaraguenses Luisa Amanda Espinoza, such as Vidaluz Meneses, Michele Najlis and Daisy Zamora. The testimonios compiled by Margaret Randall are also important pieces to consider for both Nicaragua and Cuba. The most important voices of the Cuban revolution still resident on the island are poet Nancy Morejón and writers Mirta Yáñez and Aida Bahr, with younger writers such as Adelaida Fernández de Juan and Marilyn Bobes representing a more recent generation

STUDI KARAKTERISTIK PARKIR PADA RUMAH SAKIT UMUM DAERAH A.W. SYAHRANIE SAMARINDA

Pengambilan data kendaraan parkir di dilakukan dengan metode mencatat nomor plat dan waktu kendaraan yang masuk dan keluar pada Rumah Sakit Umum Daerah A. Wahab Syahranie Samarinda. Pengamatan dilakukan selama 5 (lima) hari dengan lama waktu pengamatan setiap harinya selama 9 jam (08.00 – 17.00). Analisa data karakteristik parkir meliputi akumulasi parkir, durasi parkir, turnover, dan kebutuhan parkir. Dari hasil survey diperoleh kapasitas parkir untuk Pavilium Teratai untuk kendaraan roda dua dengan jumlah ruang parkir sebesar 450 SRP dan untuk kendaraan roda empat sebesar 65 SRP. Berdasarkan hasil penelitian parkir Pavilium Teratai Rumah Sakit Umum Daerah A. Wahab Syahranie Samarinda dapat diketahui akumulasi maksimum  pada parkir pengunjung Pavilium Teratai sebesar 563 kend pada interval 10.30 – 10.45 dan untuk roda empat sebesar 89 kendaraan pada interval 14.15 – 14.30. Durasi rata-rata untuk kendaraan roda dua sebesar 103,17 menit dan untuk roda empat sebesar 150,35 menit. Turnover maksimum sebesar 1,25 kend/petak/jam pada interval 10.30 – 10.45 dan untuk roda empat sebesar 1,37 kend/petak/jam pada interval 14.15 – 14.30. Kebutuhan parkir maksimum sebesar 553 kend/hari dan untuk roda empat sebesar 84 kend/hari

THE EFL STUDENTS’ CRITICAL READING SKILLS ACROSS COGNITIVE STYLES

This study aims to explore the difference between the field independent (FI) and field dependent (FD) learners in the area of EFL critical reading skills. To this end, 60 undergraduate EFL students who had taken and passed the Critical Reading course involved as the subjects. The Group Embedded Figure Test (GEFT) was administered to classify the students’ cognitive styles into FI and FD groups. Furthermore, to measure the students’ critical reading skills, the critical reading comprehension test (CRCT) in the form of multiple choice questions was developed and administered. The test items were focused on assessing students’ analytical and inferential skills of reading texts, specifically on determining the main idea, the purpose, the tone, making an inference and taking conclusion. The findings indicate that there is a statistically significant difference in the critical reading skills between FI and FD students. More specifically, the differences are in determining the main idea, determining the purpose, making an inference, and taking the conclusion of the texts in the CRCT. Pedagogically, selecting appropriate reading texts to be used in Critical Reading course practice for developing the students’ critical reading skills will be beneficial for both of FI and FD students