Abstract
We analyze correlation functions of SU(k) × SU(2)F flavor currents in a family of three-dimensional \( \mathcal{N} \) = 4 superconformal field theories, combining analytic bootstrap methods with input from supersymmetric localization. Via holographic duality, we extract gluon and graviton scattering amplitudes of M-theory on AdS4 × S7/ℤk which contains a ℂ2/ℤk orbifold singularity. From these results, we derive aspects of the effective description of M-theory on the orbifold singularity beyond its leading low energy limit. We also determine a threshold correction to the holographic correlator from the combined contribution of two-loop gluon and tree-level bulk graviton exchange.
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Acknowledgments
We thank Liam Fitzpatrick, Joao Penedones, and Juan Maldacena for useful conversations. This work was performed in part at Aspen Center for Physics, which is supported by National Science Foundation grant PHY-2210452. SMC is supported by the Royal Society under the grant URF\R1\221310. SSP is supported in part by the US NSF under Grant No. 2111977. YW is supported in part by the NSF grant PHY-2210420 and by the Simons Junior Faculty Fellows program. XY is supported by DOE grant DE-SC0007870.
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Chester, S.M., Pufu, S.S., Wang, Y. et al. Bootstrapping M-theory orbifolds. J. High Energ. Phys. 2024, 1 (2024). https://doi.org/10.1007/JHEP06(2024)001
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DOI: https://doi.org/10.1007/JHEP06(2024)001