The planar limit of the 𝒩 = 2 E-theory: numerical calculations and the large λ expansion

We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d 𝒩 = 2 superconformal SU( N ) YM theory with hypermultiplets in the symmetric and antisymmetric representations of the gauge group. This so called E theory is closely related to 𝒩 = 4 SYM and has a holographic description in terms of a ℤ 2 orientifold of AdS 5 × S 5 . Using recent matrix model results based on supersymmetric localization we develop efficient numerical methods to calculate two- and three-point functions of certain single trace operators as well as 1/2-BPS Wilson loop expectation values as a function of the ’t Hooft coupling λ . We use our numerical results to arrive at simple analytic expressions for these correlators valid up to sixth order in the λ − 1 / 2 strong coupling expansion. These results provide explicit field theory predictions for the α ′ corrections to the supergravity approximation of type IIB string theory on the AdS 5 × S 5 / ℤ 2 orientifold.