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

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.

12 pages, latex, v2: reference on eq. (4.3) added, v3: corrected the discussion on chiral primary field and its analysis in page 7, v4: corrected the statement between (3.3) and (3.4)

References in corpus (6)

• Gauge Theory Correlators from Non-Critical String Theory
• 4d Conformal Field Theories and Strings on Orbifolds
• M Theory on AdS_p x S^{11-p} and Superconformal Field Theories
• Supergravity on $Ad{S}_{4/7}\times S^{7/4}$ and M Branes
• Stringy Cosmic Strings and Compactifications of F-theory
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Cited by in corpus (6)

• Gauge/Gravity Duals with Holomorphic Dilaton
• F-theory and AdS_3/CFT_2
• F-theory and AdS_3/CFT_2 (2,0)
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• Non-holomorphic Corrections from Threebranes in F Theory
• N=8 SCFT and M Theory on AdS_4 x RP^7