The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansion

Abstract

Abstract We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d N $$ \mathcal{N} $$ = 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 $$ \mathcal{N} $$ = 4 SYM and has a holographic description in terms of a ℤ2 orientifold of AdS5 × 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 AdS5 × S 5 /ℤ2 orientifold.

Keywords

• Nonperturbative Effects
• Supersymmetric Gauge Theory
• 1/N Expansion