The Large N Limit of ${\cal N}=1$ Field Theories from F Theory

TL;DR

This paper explores the AdS/CFT correspondence for four-dimensional N=1 theories realized on D3 branes intersecting D7 and D7' branes in F theory, analyzing spectra and supergravity solutions in complex compactifications.

Contribution

It provides a detailed analysis of the large N spectrum and supergravity solutions for D3 branes in F theory backgrounds with intersecting D7 branes, extending previous studies.

Findings

Identified the spectrum of chiral primary operators in the large N limit.

Constructed supergravity solutions for D3 branes in D7/D7' backgrounds.

Analyzed orbifold compactifications of F theory on elliptically fibered Calabi-Yau threefolds.

Abstract

We study AdS/CFT correspondence in four dimensional N=1 field theories realized on the worldvolume of D3 branes near the intersections between D7 and D7' branes in F theory studied by Aharony et al. We consider the compactification of F theory on elliptically fibered Calabi-Yau threefolds corresponding to two sets of parallel D7 branes sharing six spacetime directions. This can be viewed as orbifolds of six torus T^6 by Z_p x Z_q (p, q=2, 3, 4, 6). We find the large N spectrum of chiral primary operators by exploiting the property of AdS/CFT correspondence. Moreover, we discuss supergravity solutions for D3 branes in D7 and D7' branes background.