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

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

1998-08-24

arxiv.org/abs/hep-th/9808143v4

Mod.Phys.Lett. A14 (1999) 369-378

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, latex, v2: reference on eq. (4.3) added, v3: corrected the discussion on chiral primary field and its analysis in pa

Scientific paper

10.1142/S0217732399000420

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.

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