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The Large N Limit of ${\cal N} =2,1 $ Field Theories from Threebranes in F-theory

Ofer Aharony·Ansar Fayyazuddin·Juan Maldacena
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Abstract

We consider field theories arising from a large number of D3-branes near singularities in F-theory. We study the theories at various conformal points, and compute, using their conjectured string theory duals, their large $N$ spectrum of chiral primary operators. This includes, as expected, operators of fractional conformal dimensions for the theory at Argyres-Douglas points. Additional operators, which are charged under the (sometimes exceptional) global symmetries of these theories, come from the 7-branes. In the case of a $D_4$ singularity we compare our results with field theory and find agreement for large $N$. Finally, we consider deformations away from the conformal points, which involve finding new supergravity solutions for the geometry produced by the 3-branes in the 7-brane background. We also discuss 3-branes in a general background.

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Ofer Aharony, Ansar Fayyazuddin, Juan Maldacena. 1998-06-20. The Large N Limit of ${\cal N} =2,1 $ Field Theories from Threebranes in F-theory. https://doi.org/10.1088/1126-6708%2F1998%2F07%2F013

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