Abstract
We consider the 4d \( \mathcal{N} \) = 2 superconformal quiver gauge theory obtained by a ℤ2 orbifold of \( \mathcal{N} \) = 4 super Yang-Mills (SYM). By exploiting supersymmetric localization, we study the integrated correlator of two Coulomb branch and two moment map operators and the integrated correlator of four moment map operators, determining exact expressions valid for any value of the ’t Hooft coupling in the planar limit. Additionally, for the second correlator, we obtain an exact expression also for the next-to-planar contribution. Then, we derive the leading terms of their strong-coupling expansions and outline the differences with respect to the \( \mathcal{N} \) = 4 SYM theory.
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Acknowledgments
We are very grateful to M. Billò, M. Frau and A. Lerda for many important discussions and for reading and commenting on the draft of our article. Furthermore we would like to thank P. De Smet, F. Galvagno, H. Paul, D. Rodríguez-Gómez, K. Zarembo and X. Zhang for useful discussions. Moreover, PV would like to thank the Quantum Field and String Theory Group of Humboldt University for the hospitality during the first stages of this project. The work of PV is partially supported by the MUR PRIN contract 2020KR4KN2 “String Theory as a bridge between Gauge Theories and Quantum Gravity” and by the INFN project ST&FI “String Theory & Fundamental Interactions”. The work of AP is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via the Emmy Noether program “Exploring the landscape of string theory flux vacua using exceptional field theory” (project number 426510644).
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Pini, A., Vallarino, P. Integrated correlators at strong coupling in an orbifold of \( \mathcal{N} \) = 4 SYM. J. High Energ. Phys. 2024, 170 (2024). https://doi.org/10.1007/JHEP06(2024)170
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DOI: https://doi.org/10.1007/JHEP06(2024)170