Anomalies, D-flatness and Small Instantons

Recently, Witten has proposed a mechanism for symmetry enhancement in $SO(32)$ heterotic string theory, where the singularity obtained by shrinking an instanton to zero size is resolved by the appearance of an $Sp(1)$ gauge symmetry. In this short letter, we consider spacetime constraints from anomaly cancellation in six dimensions and D-flatness and demonstrate a subtlety which arises in the moduli space when many instantons are shrunk to zero size.Comment: 8 pages, harvma

Effects of D-instantons

Scattering of fundamental states of type IIB supergravity and superstring theory is discussed at low orders in perturbation theory in the background of a D-instanton. The integration over fermionic zero modes in both the low energy supergravity and in the string theory leads to explicit nonperturbative terms in the effective action. These include a single instanton correction to the known tree-level and one-loop $R^4$ interactions. The `spectrum' of multiply-charged D-instantons is deduced by T-duality in nine dimensions from multiply-wound world-lines of marginally-bound D-particles. This, and other clues, lead to a conjectured SL(2,Z) completion of the $R^4$ terms which suggests that they are not renormalized by perturbative corrections in the zero-instanton sector beyond one loop. The string theory unit-charged D-instanton gives rise to point-like effects in fixed-angle scattering, raising unresolved issues concerning distance scales in superstring theory.Comment: 31 pages, 6 figures, Latex, Reference added, corrected coefficients in expansion of generalized Eisenstein series in equation 66 now agree with hep-th/970414

An Analysis of Four-quark Energies in SU(2) Lattice Monte Carlo using the Flux-tube Symmetry:

Energies of four-quark systems calculated by the static quenched SU(2) lattice Monte Carlo method are analyzed in $2\times 2$ bases for square, rectangle, tilted rectangle, linear and quadrilateral geometry configurations and in $3\times 3$ bases for a non-planar geometry configuration. For small interquark distances, a lattice effect is taken into account by considering perimeter dependent terms which are characterized by the cubic symmetry. It is then found that a parameter $f$ - that can be identified as a gluon field overlap factor - is rather well described by the form $exp(-[b_sE{\cal A}+\sqrt{b_s}F{\cal P}])$, where ${\cal A}$ and ${\cal P}$ are the area and perimeter mainly defined by the positions of the four quarks, $b_s$ is the string constant in the 2-quark potentials and $E,F$ are constants.Comment: (19 pages of Latex - 1 page of figures not included - sent on request). Preprint HU-TFT-94-2

Infinite-genus surfaces and the universal Grassmannian

Correlation functions can be calculated on Riemann surfaces using the operator formalism. The state in the Hilbert space of the free field theory on the punctured disc, corresponding to the Riemann surface, is constructed at infinite genus, verifying the inclusion of these surfaces in the Grassmannian. In particular, a subset of the class of $O_{HD}$ surfaces can be identified with a subset of the Grassmannian. The concept of flux through the ideal boundary is used to study the connection between infinite-genus surface and the domain of string perturbation theory. The different roles of effectively closed surfaces with Dirichlet boundaries in a more complete formulation of string theory are identified.Comment: 14 pages, TeX, 3 figures. The July, 1995 version contains an expanded introductio

Book Review: The Shaping of an Effective Leader

The Shaping of an Effective Leader has been fundamentally encouraging to me in the area of leadership because I have been fortunate enough to be a recipient of the leadership of the author. Serving on my dissertation committee, Gayle Beebe encouraged me to development a Christian theology of suffering. He recommended reading the works of Diogenes Allen, Lawrence Bowker, Herbert Lockyear, Henri Nouwen, as well as others. In our meetings to discuss these works, it did not take long for me to discover that I was in the presence of one of the most Christlike individuals I had ever encountered. The knowledge, skills, and dispositions of leadership modeled to me by the author are reflected in the principles of this work

Popular music education in and for itself, and for 'other' music: current research in the classroom

This article considers some ways in which the school classroom enters into, changes and complicates musical meanings, focussing particularly on the role of popular music and how it relates to classical music. I suggest that in bringing popular music into the curriculum, educators have largely ignored the informal learning practices of popular musicians. Popular music has therefore been present as curriculum content, but its presence has only recently begun to affect our teaching strategies. I examine how the adaptation of some informal popular music learning practices for classroom use can positively affect pupils’ musical meanings and experiences. This applies not only to the sphere of popular music, but also to classical music and, by implication, other musics as well. Finally, the notions of musical autonomy, personal autonomy and musical authenticity in relation to musical meaning and informal learning practices within the classroom are discussed

The Many Faces of Lifelong Learning: Recent Education Policy Trends in Europe

This article examines the rise of the discourse on lifelong learning across Europe and the variety of national policy trends which its rhetoric occludes. The ubiquitous presence of this meta-discourse in education and training policy-in-theory is seen as a singular event which can be ascribed to the impact of the variety of global forces on the education arena. It serves specific political functions in addition to signalling real changes in education and training systems. The duality of convergent rhetoric and divergent policy- in- practise is seen as a challenge to education policy analysis which requires multi-layered interpretation

On the Knowledge of God and the Metaphysics of Aquinas

Thomas Aquinas argues in his seminal work, the Summa Theologiae, that one can come to know the existence of God through rational argumentation alone. As a theologian writing a work of theology, he makes his demonstrations concerning God’s existence from the point of view of his Christian faith. And in this, it will be argued, Aquinas is not necessarily mistaken. For his project is to present a grand scheme of reality and man’s place within it. Philosophers have often tried the same, and, like Aquinas, their attempts have been made from a certain point of view. That, it will be shown, is the difference. This paper will present how Aquinas accounts for man’s ability to know generally and then metaphysically, but also how he reasonably presents his theses within the purview of his Christian faith

London in space and time: Peter Ackroyd and Will Self

Copyright @ 2013 the author. This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 Unported License.This paper explores the treatment of London by two authors who are profoundly influenced by the concept of the power of place and the nature of urban space. The works of Peter Ackroyd, whose writings embody, according to Onega (1997, p. 208) “[a] yearning for mythical closure” where London is “a mystic centre of power” – spiritual, transhistorical and cultural – are considered alongside those of Will Self, who explores the city’s psychogeography as primarily a political, economic and cultural artefact. The paper draws on original interviews undertaken by the author with Ackroyd and Self. Both authors’ works are available for literary study during the 16-19 phase in the UK, and this paper explores how personal delineations of the urban environment are shaped by space and language. It goes on to consider how authors’ and students’ personal understandings of space and place can be used as pedagogical and theoretical lenses to “read” the city in the 16-19 literature classroom