Weyl invariant Jacobi forms along Higgsing trees

Using topological string techniques, we compute BPS counting functions of 5d gauge theories which descend from 6d superconformal field theories upon circle compactification. Such theories are naturally organized in terms of nodes of Higgsing trees. We demonstrate that the specialization of the partition function as we move from the crown to the root of a tree is determined by homomorphisms between rings of Weyl invariant Jacobi forms. Our computations are made feasible by the fact that symmetry enhancements of the gauge theory which are manifest on the massless spectrum are inherited by the entire tower of BPS particles. In some cases, these symmetry enhancements have a nice relation to the 1-form symmetry of the associated gauge theory.

ON HORATIU RADULESCU'S FIFTH STRING QUARTET (‘BEFORE THE UNIVERSE WAS BORN’) OP. 89

Horatiu Radulescu's Fifth String Quartet, ‘before the universe was born’, is a shining example of his radical compositional approach. With an intense interest in creating a rich, numinous sound-world constructed firmly on principles of nature, science and ancient philosophy, Radulescu developed a unique compositional language that breaks with traditional musical conventions. In hopes of illuminating the inner workings behind his often enigmatic compositional process, this article examines various aspects relating to Radulescu's Fifth Quartet: the work's formal construction, with a focus on its notation and overall large-scale harmonic development; the Quartet's rhythmic devices and their link to the philosophical underpinnings that drive the work; the extended instrumental string techniques employed throughout, the sounds they achieve, and how they are executed; and the work's spectral pitch organisation.

The Use of Videotape Recordings to Increase Teacher Trainees' Error Detection Skills

The study evaluated the extent that error detection training (the combination of videotape recordings, slides, textual materials, and class discussions) altered teacher trainees' recognition of specific string techniques or errors, as opposed to the teaching setting in which students used the entire class session to conduct the string orchestra. The data indicated that both error detection training and in-class conducting increased the trainees' recognition of both errors and appropriate string usage. Additional analysis indicated that the error detection training class performed at significantly higher levels than the other group, as measured on the error detection test.