Abstract
We propose and test a novel conjectural relation satisfied by the superconformal index of maximally supersymmetric U(N) gauge theory in four dimensions. Analogous relations appear to be also valid for the superconformal indices of a large collection of other gauge theories, as well as for a broad class of index-like generating functions. The relation expresses the finite N index as a systematic series of corrections to a large N answer. Individual corrections have an holographic interpretation as the analytic continuation of contributions from “giant graviton” branes fixed by a specific symmetry generator.
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Acknowledgments
This research was supported in part by a grant from the Krembil Foundation. J.H.L. and D.G. are supported by the NSERC Discovery Grant program and by the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities.
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Gaiotto, D., Lee, J.H. The giant graviton expansion. J. High Energ. Phys. 2024, 25 (2024). https://doi.org/10.1007/JHEP08(2024)025
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DOI: https://doi.org/10.1007/JHEP08(2024)025