7,019 research outputs found
Polynomial Roots and Calabi-Yau Geometries
The examination of roots of constrained polynomials dates back at least to
Waring and to Littlewood. However, such delicate structures as fractals and
holes have only recently been found. We study the space of roots to certain
integer polynomials arising naturally in the context of Calabi-Yau spaces,
notably Poincare and Newton polynomials, and observe various salient features
and geometrical patterns.Comment: 22 pages, 13 Figure
A Monograph on the Classification of the Discrete Subgroups of SU(4)
We here present, in modern notation, the classification of the discrete
finite subgroups of SU(4) as well as the character tables for the exceptional
cases thereof (Cf. http://pierre.mit.edu/~yhe/su4.ct). We hope this catalogue
will be useful to works on string orbifold theories, quiver theories, WZW
modular invariants, Gorenstein resolutions, nonlinear sigma-models as well as
some recently proposed inter-connections among them.Comment: 12 Pages, 1 Figure, Format and hyperlinks update
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