Gauge theories from D7-branes over vanishing 4-cycles

Details Gauge theories from D7-branes over vanishing 4-cycles Gauge theories from D7-branes over vanishing 4-cycles

2010-10-19

arxiv.org/abs/1010.4029v1

JHEP 1101:017,2011

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 12 figures

Scientific paper

10.1007/JHEP01(2011)017

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.

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