Metastable Vacua, Geometrical Engineering and MQCD Transitions
Radu Tatar, Ben Wetenhall
TL;DR
This paper explores the geometric engineering of metastable vacua in N=1 super Yang-Mills theories, using T-duality and MQCD transitions to analyze brane configurations and Seiberg dualities.
Contribution
It introduces a novel geometric framework for understanding metastable vacua and Seiberg dualities via complex structure modifications and brane configurations.
Findings
Identifies geometric parameters with gluino condensation
Describes new complex structure modifications for Seiberg duality
Links geometrical engineering with metastable vacua stability
Abstract
We consider the geometrical engineering of the non-supersymmetric metastable vacua of N = 1 super Yang-Mills proposed in hep-th/0602239 and hep-th/0610249. By T-duality they become N = 1 brane configurations. The identifications between gluino condensation and the geometry sizes for the configurations of hep-th/0610249 are studied by proceeding through the usual MQCD transitions. The geometrical description of the Seiberg dualities for the theories of hep-th/0602239 involves new types of modifications of the complex structure for the resolutions of N = 2 singularities.
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