The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity

Abstract

We show that by studying the flat spacetime limit of the Mellin amplitude associated with the four-point correlation function of scalar operators in the stress tensor multiplet of ABJM theory, one can produce the momentum expansion of the M-theory four-graviton S-matrix elements. Using CFT data previously obtained from the supersymmetric localization method, we carry out this procedure explicitly to the second nontrivial order in the momentum expansion, and recover precisely the known $R^4$ contribution to the scattering amplitude of super-gravitons in M-theory in eleven dimensions.

45 pages; v2 typos fixed; v3 typos fixed

References in corpus (16)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Holography from Conformal Field Theory
• Fractional M2-branes
• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• How to Succeed at Holographic Correlators Without Really Trying
• Generating Tree Amplitudes in N=4 SYM and N=8 SG
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• Solving M-theory with the Conformal Bootstrap
• Holographic Four-Point Functions in the (2, 0) Theory
• $D^6{R}^4$ amplitudes in various dimensions
• AdS${}_4$/CFT${}_3$ for Unprotected Operators
• M-theory Beyond The Supergravity Approximation
• The D^{2k} R^4 Invariants of N=8 Supergravity

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• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
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• Large $N$ Partition Functions of the ABJM Theory
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• Squashing, Mass, and Holography for 3d Sphere Free Energy
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• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
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• Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory
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• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
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• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Adinkra Foundation of Component Decomposition and the Scan for Superconformal Multiplets in 11D, N = 1 Superspace
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• Wrapped $M5$-branes and complex saddle points
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