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Topics in String Duality: D-Branes and Geometry

  • Author(s): Beem, Christopher John
  • Advisor(s): Aganagic, Mina
  • et al.
Abstract

One of the most striking and surprising aspects of string theory is the vast web of string dualities which relates many seemingly distinct string backgrounds. In this dissertation, I explore several novel dualities between systems of D-branes and closed string flux compactifications. I use geometric transitions to analyze a variety of supersymmetry-breaking D-brane constructions. I additionally present an explanation of the Calabi-Yau fourfold geometries which appear in the computation of superpotentials for D-branes on compact Calabi-Yau threefolds.

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