Semi-classical Quantization in N=4 Supersymmetric Yang-Mills Theory and Duality

At a generic point in the moduli space of vacua of an N=4 supersymmetric gauge theory with arbitrary gauge group the Higgs force does not cancel the magneto-static force between magnetic monopoles of distinct charge. As a consequence the moduli space of magnetically charged solutions is related in a simple way to those of the SU(2) theory. This leads to a rather simple test of S-duality. On certain subspaces of the moduli space of vacua the forces between distinct monopoles cancel and the test of S-duality becomes more complicated.Comment: 11 pages, plain tex with macro included, one Postscript figure, uses psfig.te

The Seeker

This book is dedicated to acknowledge and honour the work Prof John P Keeves. A seeker of knowledge, John is exemplary in highlighting the nexus between instruction, learning and research. John’s diversity of learning experiences and contributions to students, colleagues and the broader community are highlighted through the broad range of articles in the book. PART 1 FROM SCHOOL TO UNIVERSITY Chapter 1 Observations from a Family Perspective by John S. Keeves & Wendy Keech Chapter 2 Student Days at PAC by Ren Potts Chapter 3 Prince Alfred College 1934-1977 by Murray Thompson & Alan Dennis Chapter 4 John’s Reflection of PAC and beyond by Ron Gibbs & Murray Thompson Chapter 5 Teaching Days at PAC 1947-49, 52-56, 58-61 by David Prest Chapter 6 Wesley College Council by David Prest Chapter 7 Port Willunga by David Prest Chapter 8 Teacher and Scout Leader by John Willoughby PART 2 CONTRIBUTIONS AND COLLABORATIONS BEYOND AUSTRALIA Chapter 9 Ten Questions by which to Judge the Soundness of Educational Achievement Surveys by T. Neville Postlethwaite Chapter 10 Exploring the Effects of Language Proficiency upon Secondary Students’ Performance in Mathematics in a Developing Context by Sarah J Howie & Tjeerd Plomp Chapter 11 The Subversive Influence of Formative Assessment by Paul Black Chapter 12 Diversity of Research on Teaching by Toh Kok Aun PART 3 FLINDERS UNIVERSITY INSTITUTE OF INTERNATIONAL EDUCATION AND BEYOND Chapter 13 Investigating Good Quality Knowledge about Learning and Teaching by Michael J. Lawson & Helen Askell-Williams Chapter 14 Future Directions for the Reform of Education in Oceania by G R (Bob) Teasdale Chapter 15 Students’ Knowledge of Normal Swallowing: Tracking Growth and Determining Variables by Ingrid Scholten Chapter 16 Rasch Scaling and the Judging of Produce by Murray Thompson Chapter 17 Modelling and Experiments by Tony Gibbons Chapter 18 Theological Education and the Identity of the Uniting Church in Australia by Andrew Dutney Chapter 19 Teaching Out of the Unconscious: The Role of Shadow and Archetype by Robert Matthews Chapter 20 Collaboration over the Net: HTML & Java, the Necessary Tools by Sivakumar Alagumalai & Jury Mohyla Chapter 21 Factors Influencing Reading Achievement in Germany and Finland: Evidence from PISA 2000 by Dieter Kotte & Petra Lietz Epilogue Lifelong Learning and the Place for ICT: Learning and Research for the Twenty-first Century by John P. Keeveshttps://research.acer.edu.au/saier/1014/thumbnail.jp

Postfledging Survival, Movements, and Dispersal of Ring Ouzels (Turdus torquatus)

We thank Invercauld Estate for cooperation with access to Glen Clunie. S. Redpath, J. Wilson, and S. Roos provided valuable comments on the manuscript. This study was funded by the Royal Society for the Protection of Birds, Scottish Natural Heritage, and the Cairngorms National Park Authority. J.L.L. was supported by the Natural Environment Research Council.Peer reviewedPublisher PD

Duality and Supersymmetric Monopoles

Exact duality in supersymmetric gauge theories leads to highly non-trivial predictions about the moduli spaces of BPS monopole solutions. These notes attempt to be a pedagogical review of the current status of these investigations and are based on lectures given at the 33rd Karpacz Winter School: Duality - Strings and Fields, February 1997.Comment: Latex, 12 pages. Typos corrected, references adde

Exponential families, Kahler geometry and quantum mechanics

Exponential families are a particular class of statistical manifolds which are particularly important in statistical inference, and which appear very frequently in statistics. For example, the set of normal distributions, with mean {\mu} and deviation {\sigma}, form a 2-dimensional exponential family. In this paper, we show that the tangent bundle of an exponential family is naturally a Kahler manifold. This simple but crucial observation leads to the formalism of quantum mechanics in its geometrical form, i.e. based on the Kahler structure of the complex projective space, but generalizes also to more general Kahler manifolds, providing a natural geometric framework for the description of quantum systems. Many questions related to this "statistical Kahler geometry" are discussed, and a close connection with representation theory is observed. Examples of physical relevance are treated in details. For example, it is shown that the spin of a particle can be entirely understood by means of the usual binomial distribution. This paper centers on the mathematical foundations of quantum mechanics, and on the question of its potential generalization through its geometrical formulation

Quantisation of Monopoles with Non-abelian Magnetic Charge

Magnetic monopoles in Yang-Mills-Higgs theory with a non-abelian unbroken gauge group are classified by holomorphic charges in addition to the topological charges familiar from the abelian case. As a result the moduli spaces of monopoles of given topological charge are stratified according to the holomorphic charges. Here the physical consequences of the stratification are explored in the case where the gauge group SU(3) is broken to U(2). The description due to A. Dancer of the moduli space of charge two monopoles is reviewed and interpreted physically in terms of non-abelian magnetic dipole moments. Semi-classical quantisation leads to dyonic states which are labelled by a magnetic charge and a representation of the subgroup of U(2) which leaves the magnetic charge invariant (centraliser subgroup). A key result of this paper is that these states fall into representations of the semi-direct product U(2) \semidir R^4. The combination rules (Clebsch-Gordan coefficients) of dyonic states can thus be deduced. Electric-magnetic duality properties of the theory are discussed in the light of our results, and supersymmetric dyonic BPS states which fill the SL(2,Z)-orbit of the basic massive W-bosons are found.Comment: 57 pages, harvmac, amssym, two eps figures, minor mistakes and typos corrected, references added; to appear in Nucl. Phys.

Anterior knee pain from the evolutionary perspective

Background This paper describes the evolutionary changes in morphology and orientation of the PFJ using species present through our ancestry over 340 million years. Methods 37 specimens from the Devonian period to modern day were scanned using a 64-slice CT scanner. 3D geometries were created following routine segmentation and anatomical measurements taken from standardised bony landmarks. Results Findings are described according to gait strategy and age. The adoption of an upright bi-pedal stance caused a dramatic change in the loading of the PFJ which has subsequently led to changes in the arrangement of the PFJ. From Devonian to Miocene periods, our sprawling and climbing ancestors possessed a broad knee with a shallow, centrally located trochlea. A more rounded knee was present from the Paleolithic period onwards in erect and bipedal gait types (aspect ratio 0.93 vs 1.2 in late Devonian), with the PFJ being placed lateral to the midline compared to the medial position in quadrapeds. The depth of the trochlea groove was maximal in the Miocene period of the African ground apes with associated acute sulcus angles in Gorilla (117°) becoming more flattened towards the modern human (138°). Conclusions The evolving bipedal gait lead to anteriorisation of the patellofemoral joint, flattening of the trochlea sulcus, in a more lateral, dislocation prone arrangement. Ancestral developments might help explain the variety of presentations of anterior knee pain and patellofemoral instability

Status of names of Mitrasacme species occurring outside Australia

Species of Mitrasacme occurring in Australia were revised for the Flora of Australia project in 1996, but the genus has never been revised as a whole. A checklist of the names of Mitrasacme species that occur outside Australia is presented here, together with their taxonomic status, known distribution and notes on their morphological affinities

The Australasian genus Schizacme (Loganiaceae): new combinations and new species in the New Zealand flora

Schizacme Dunlop (Loganiaceae) is a genus of five perennial subshrubs of predominantly alpine and montane habitats in south eastern Australia and in New Zealand. Schizacme was described as a segregate from Mitrasacme Labill. but combinations in the genus were not made for two New Zealand taxa, Mitrasacme montana Hook.f. var. helmsii Kirk and M. novae-zealandiae Hook.f., thought to be congeneric with Schizacme. By using nucleotide sequence data from the nuclear ribosomal ETS and the chloroplast intron petD, we confirm that New Zealand Mitrasacme and Australian Schizacme form a monophyletic group. New combinations are created in Schizacme and species limits are reviewed, with an emphasis on the New Zealand taxa. Mitrasacme montana var. helmsii is here elevated to species rank, as S. helmsii (Kirk) K.L.Gibbons. Schizacme ciliata K.L.Gibbons is here described as a segregate from S. novae-zelandiae (Hook.f.) K.L.Gibbons. The morphology of Schizacme, including the New Zealand species, is discussed

Усовершенствование медицинского обеспечения детей в период организованного отдыха

В статье проанализированы формы оздоровления детей в детских учреждениях отдыха и оздоровления. Обосновывается оптимизация эффективности оздоровления детей. The forms of recovery of the children in the children’s establishment of the recreation and recovery were analyzed in this paper. The optimization of the efficiency of the recovery of the children is being substantiated by the paper