M-theory Beyond The Supergravity Approximation

Abstract

We analyze the four-point function of stress-tensor multiplets for the 6d quantum field theory with $OSp(8^{\ast }|4)$ symmetry which is conjectured to be dual to M-theory on $Ad{S}_7\times S^4$, and deduce the leading correction to the tree-level supergravity prediction by obtaining a solution of the crossing equations in the large-$N$ limit with the superconformal partial wave expansion truncated to operators with zero spin. This correction corresponds to the M-theoretic analogue of ${\mathcal{R}}^4$ corrections in string theory. We also find solutions corresponding to higher-spin truncations, but they are subleading compared to the 1-loop supergravity prediction, which has yet to be calculated.

18 pages. Refs added. Other small changes

References in corpus (4)

• Holography from Conformal Field Theory
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Gravitational S-matrix from CFT dispersion relations
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$

Cited by in corpus (18)

• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• 6d (2,0) and M-theory at 1-loop
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• AdS${}_4$/CFT${}_3$ for Unprotected Operators
• Five-Dimensional Non-Lorentzian Conformal Field Theories and their Relation to Six-Dimensions
• Bootstrapping string dynamics in the 6d $\mathcal{N}=(2,0)$ theories
• Lessons from M2's and Hopes for M5's
• Regge trajectories for the (2,0) theories
• Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory
• Five-Dimensional Path Integrals for Six-Dimensional Conformal Field Theories
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Superconformal blocks in diverse dimensions and $BC$ symmetric functions
• Instanton Worldlines in Five-Dimensional $\Omega$-Deformed Gauge Theory
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories