Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory

Abstract

We propose a general method to study open/closed string dualities from transitions in M theory which is valid for a large class of geometrical configurations. By T-duality we can transform geometrically engineered configurations into N = 1 brane configurations and study the transitions of the corresponding branes by lifting the configurations to M-theory. We describe the transformed degenerated M5 branes and extract the field theory information on gluino condensation by factorization of the Seiberg-Witten curve. We also include massive flavors and orientifolds and discuss Seiberg duality which appears in this case as a birational flop. After the transition, the Seiberg duality becomes an abelian electric-magnetic duality.

30 pages, 3 figures, Latex

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• Brane Inflation, Solitons and Cosmological Solutions: I
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• A companion to "Knot invariants and M-theory I'' [arXiv:1608.05128]: proofs and derivations