Gauge theories from D7-branes over vanishing 4-cycles

Abstract

We study quiver gauge theories on D7-branes wrapped over vanishing holomorphic 4-cycles. We investigate how to incorporate O7-planes and/or flavor D7-branes, which are necessary to cancel anomalies. These theories are chiral, preserve four supercharges and exhibit very rich infrared dynamics. Geometric transitions and duality in the presence of O-planes are analyzed. We study the Higgs branch of these quiver theories, showing the emergence of fuzzy internal dimensions. This branch is related to noncommutative instantons on the divisor wrapped by the seven-branes. Our results have a natural application to the recently introduced F(uzz) limit of F-theory.

arXiv comment34 pages, 12 figures

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Cited by in corpus (10)

• D-brane non-perturbative effects and geometric deformations
• Dynamic SU(2) Structure from Seven-branes
• New N=1 dualities from orientifold transitions - Part II: String Theory
• New N=1 dualities from orientifold transitions - Part I: Field Theory
• S-duality in $\mathcal{N}=1$ orientifold SCFTs
• Orientifolds and duality cascades: confinement before the wall
• F-theory and the Witten Index
• S-duality of nonsupersymmetric gauge theories
• F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics
• Strongly coupled phases of $\mathcal{N}=1$ S-duality