Geometric Transitions and D-Term SUSY Breaking

Understand

We propose a new way of using geometric transitions to study metastable vacua in string theory and certain confining gauge theories.

• The gauge theories in question are N=2 supersymmetric theories deformed to N=1 by superpotential terms.
• We first geometrically engineer supersymmetry-breaking vacua by wrapping D5 branes on rigid 2-cycles in noncompact Calabi-Yau geometries, such that the central charges of the branes are misaligned.
• In a limit of slightly misaligned charges, this has a gauge theory description, where supersymmetry is broken by Fayet-Iliopoulos D-terms.