New N=2 superconformal field theories from M/F theory orbifolds

Abstract

We consider M-theory on (T^2\times R^2)/Z_n with M5 branes wrapped on R^2. One can probe this background with M5 branes wrapped on T^2. The theories on the probes provide many new examples of N=2 field theories without Lagrangian description. All these theories have Coulomb branches, and we find the corresponding Seiberg-Witten curves. The exact solution is encoded in a Hitchin system on an orbifolded torus with punctures. The theories we consider also arise from D3 probes in F-theory on K3\times K3 orbifolds. Interestingly, the relevant F-theory background has frozen Z_n singularities which are analogous to frozen Z_2 singularities in Type I string theory. We use the F-theory description to find supergravity duals of the probe SCFT's in the large N limit and compute the spectrum of relevant and marginal operators. We also explain how the decoupling of U(1) factors is manifested in the supergravity description.

35 pages, latex

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• 5d quivers and their AdS(6) duals
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• 4d $\mathcal{N}=2$ S-folds
• Elliptic Models, Type IIB Orientifolds and the Ads/CFT Correspondence
• New N=1 Superconformal Field Theories In Four Dimensions
• Probing 7-branes on Orbifolds
• Elliptic models and M-theory
• Vacuum states of N=1* mass deformations of N=4 and N=2 conformal gauge theories and their brane interpretations
• Inozemtsev System as Seiberg-Witten Integrable system
• pp-wave limits and orientifolds
• N=1 Theories, T-duality, and AdS/CFT correspondence
• Fractional D3-branes in diverse backgrounds
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• Semiclassical Entropy of BPS States in 4d $\mathcal{N}=2$ Theories and Counts of Geodesics
• A plethora of K3 metrics
• Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
• Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence