Abstract
In a \( \mathcal{N} \) = 2 superconformal gauge theory with matter hypermultiplets transforming in the symmetric and anti-symmetric representations of SU(N), we study the integrated correlators of two Coulomb-branch operators and two moment-map operators using localization. In the corresponding matrix model we identify the operator associated with the integrated insertions of moment-map operators and provide for it an exact expression valid for all values of the coupling constant in the planar limit. This allows us to study the integrated correlators at strong-coupling where we show that they behave as the 2-point functions of the Coulomb-branch operators, up to an overall constant dependent only on the conformal dimensions of the latter. The strong-coupling relation between integrated correlators and 2-point functions turns out to be the same as in \( \mathcal{N} \) = 4 SYM at large N, despite the reduced amount of supersymmetry in our theory.
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Acknowledgments
We would like to thank F. Galvagno and P. Vallarino for many useful discussions. This research 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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Billò, M., Frau, M., Lerda, A. et al. A matrix-model approach to integrated correlators in a \( \mathcal{N} \) = 2 SYM theory. J. High Energ. Phys. 2024, 154 (2024). https://doi.org/10.1007/JHEP01(2024)154
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DOI: https://doi.org/10.1007/JHEP01(2024)154