A Rectangular Area Filling Display System Architecture

A display system architecture which has rectangular area filling as its primitive operation is presented. It is shown that lines can be drawn significantly faster while rendition of filled boxes shows an O(n^2) speed improvement. Furthermore filled polygons can be rendered with an O(n) speed improvement. Implementation of this rectangular area filling architecture is discussed and refined. A custom VLSI integrated circuit is currently being designed to implement this rectangular area filling architecture and at the same time reduce the display memory system video refresh bandwidth requirements

Anomalies and Invertible Field Theories

We give a modern geometric viewpoint on anomalies in quantum field theory and illustrate it in a 1-dimensional theory: supersymmetric quantum mechanics. This is background for the resolution of worldsheet anomalies in orientifold superstring theory.Comment: 21 pages, based talk at String-Math 2013; small corrections in v

Special Kahler Manifolds

We give an intrinsic definition of the special geometry which arises in global N=2 supersymmetry in four dimensions. The base of an algebraic integrable system exhibits this geometry, and with an integrality hypothesis any special Kahler manifold is so related to an integrable system. The cotangent bundle of a special Kahler manifold carries a hyperkahler metric. We also define special geometry in supergravity in terms of the special geometry in global supersymmetry.Comment: 29 pages, amstex, revised version contains minor corrections, to appear in Commun. Math. Phy