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

2022/07/26 by Bobev, Nikolay, De Smet, Pieter-Jan, Zhang, Xuao
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2207.12843

Abstract

We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d N=2 superconformal \rm 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 ℤ₂ orientifold of AdS₅× S⁵. 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 the 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× S⁵/ℤ₂ orientifold.

Related

• Integrated correlators in a N=2 SYM theory with fundamental flavors: a matrix-model perspective
• Analytical and numerical routes to strong coupling in N=2 SCFTs
• Integrated line-defect correlators in Sp(N) SCFTs at strong coupling
• The planar limit of N=2 superconformal quiver theories
• Large Charge 't Hooft Limit of N=4 Super-Yang-Mills