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 (4)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Holography from Conformal Field Theory
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling