Abstract
We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d \( \mathcal{N} \) = 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 \( \mathcal{N} \) = 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 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.
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Acknowledgments
This work is supported in part by an Odysseus grant G0F9516N from the FWO and by the KU Leuven C1 grant ZKD1118 C16/16/005. PJDS would like to thank M. Billò for interesting discussions during the initial stages of this work. We are also grateful to the authors of [10] for useful correspondence after the first version of this work appeared.
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Bobev, N., De Smet, PJ. & Zhang, X. The planar limit of the \( \mathcal{N} \) = 2 E-theory: numerical calculations and the large λ expansion. J. High Energ. Phys. 2024, 100 (2024). https://doi.org/10.1007/JHEP02(2024)100
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DOI: https://doi.org/10.1007/JHEP02(2024)100