The Breakdown of Topology at Small Scales

Paul S Aspinwall
2004 Journal of High Energy Physics  
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.
doi:10.1088/1126-6708/2004/07/021 fatcat:mip5liviwvdtlekg2iahvdkpb4