The Breakdown of Topology at Small Scales

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 2 figures

Scientific paper

10.1088/1126-6708/2004/07/021

We discuss how a topology (the Zariski topology) on a space can appear to
break down at small distances due to D-brane decay. The mechanism proposed
coincides perfectly with the phase picture of Calabi-Yau moduli spaces. The
topology breaks down as one approaches non-geometric phases. This picture is
not without its limitations, which are also discussed.

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