On Fermion Zero-Modes in Instanton V−AV-A Models With Spontaneous Symmetry Breaking

The left and right handed fermion zero-modes are examined. Their behaviour under the variation of the size of the instanton, \ri, and the size of the Higgs core, \rh, for a range of Yukawa couplings corresponding to the fermion masses in the electroweak theory are studied. It is shown that the characteristic radii of the zero-modes, in particlar those the left handed fermions, are locked to the instanton size, and are not affected by the variation of \rh, except for fermion masses much larger than those in the standard electroweak theory.Comment: 8 Pages. LaTeX file. 4 Figures Not include

The product of operators with closed range in Hilbert C*-modules

Suppose $T$ and $S$ are bounded adjointable operators with close range between Hilbert C*-modules, then $TS$ has closed range if and only if $Ker(T)+Ran(S)$ is an orthogonal summand, if and only if $Ker(S^*)+Ran(T^*)$ is an orthogonal summand. Moreover, if the Dixmier (or minimal) angle between $Ran(S)$ and $Ker(T) \cap [Ker(T) \cap Ran(S)]^{\perp}$ is positive and $\bar{Ker(S^*)+Ran(T^*)}$ is an orthogonal summand then $TS$ has closed range.Comment: 12 pages, abstract was changed, accepte

Literary Modernity between Arabic and Persian Prose: Jurji Zaydan's Riwayat in Persian Translation

Our understanding of nineteenth-century literary practice is often mediated by the national literature model of study that continues to govern discussions of modern literature. Put differently, contemporary evaluations of literary texts of the nineteenth century are often arrived at by using the national literature models that remain ascendant. This results in particular from the interplay of two concepts, 'nationalism' and 'novelism', and the role that these ideological agendas play in establishing the frameworks for literary study that predominate in today's academy. Novelism is defined by Clifford Siskin as 'the habitual subordination of writing to the novel' —it is the prevalent tendency to approach prose writing in general using a framework of value derived from criticism of the novel.1 Rather than evaluating texts of the period in question by using criteria that can be validly ascribed to the sites of their production, we often tend to employ instead criteria derived from the novel as a currently-ascendant form of writing. Together with the tendency to read literature as defined exclusively by the trajectories offered in national-literature frameworks, this dual agenda has come to represent the most widespread tendency in literary historical scholarship, that of the nationalist-novelist paradigm, which presumes national literatures to be its subject matter, and which evaluates (non-European) prose writing largely through the critical tools developed for assessing the European novel

Gaugino Condensation, Loop Corrections, and S-duality Constraint

This talk is a brief review of gaugino condensation in superstring effective field theories and some related issues (such as renormalization of the gauge coupling in the effective supergravity theories and modular anomaly cancellation). As a specific example, we discuss a model containing perturbative (1-loop) corrections to the K\"ahler potential and approximate S-duality symmetry.Comment: 11 pages, LaTeX, One figure included; To appear in the proceedings of NATO ASI on Masses of Fundamental Particles, C\`argese, France, Aug. 5-17, 199