Abstract
We analyze correlation functions of SU(k) × SU(2)F flavor currents in a family of three-dimensional = 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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1 Blackett Laboratory, Imperial College, Prince Consort Road, SW7 2AZ, London, UK (GRID: grid.7445.2) (ISNI: 0000 0001 2113 8111)
2 Joseph Henry Laboratories, Princeton University, 08544, Princeton, NJ, USA (ROR: https://ror.org/00hx57361) (GRID: grid.16750.35) (ISNI: 0000 0001 2097 5006); Princeton Center for Theoretical Science, Princeton University, 08544, Princeton, NJ, USA (ROR: https://ror.org/00hx57361) (GRID: grid.16750.35) (ISNI: 0000 0001 2097 5006); Institute for Advanced Study, 08540, Princeton, NJ, USA (ROR: https://ror.org/00f809463) (GRID: grid.78989.37) (ISNI: 0000 0001 2160 7918)
3 Center for Cosmology and Particle Physics, New York University, 10003, New York, NY, USA (ROR: https://ror.org/0190ak572) (GRID: grid.137628.9) (ISNI: 0000 0004 1936 8753)
4 Jefferson Physical Laboratory, Harvard University, 02138, Cambridge, MA, USA (ROR: https://ror.org/03vek6s52) (GRID: grid.38142.3c) (ISNI: 0000 0004 1936 754X)