Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory

Abstract

We derive recursion relations for the anomalous dimensions of double-trace operators occurring in the conformal block expansion of four-point stress tensor correlators in the 6d $(2,0)$ theory, which encode higher-derivative corrections to supergravity in $Ad{S}_7\times S^4$ arising from M-theory. As a warm-up, we derive analogous recursion relations for four-point functions of scalar operators in a toy non-supersymmetric 6d conformal field theory.

v2. minor changes, published in JHEP

References in corpus (30)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The Holographic Weyl anomaly
• Bounding scalar operator dimensions in 4D CFT
• Holography from Conformal Field Theory
• Infinite Chiral Symmetry in Four Dimensions
• Conformal Partial Waves and the Operator Product Expansion
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• Unitarity and the Holographic S-Matrix
• Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory
• D-instantons, Strings and M-theory
• Duality and higher derivative terms in M theory
• W Symmetry in six dimensions
• Gravitational S-matrix from CFT dispersion relations
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
• Quantum Gravity from Conformal Field Theory
• Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence
• Unmixing Supergravity
• On Four-Point Functions of Half-BPS Operators in General Dimensions
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Loop corrections for Kaluza-Klein AdS amplitudes
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
• Holographic Four-Point Functions in the (2, 0) Theory
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Three Point Functions of Chiral Primary Operators in d=3, N= 8 and d=6, N=(2,0) SCFT at Large N
• Aspects of superconformal field theories in six dimensions
• AdS${}_4$/CFT${}_3$ for Unprotected Operators
• M-theory Beyond The Supergravity Approximation

Cited by in corpus (11)

• $20^{\prime }$ 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
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• Holographic correlators in AdS${}_3$ without Witten diagrams
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Regge trajectories for the (2,0) theories
• 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