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

## TL;DR

This paper develops recursion relations for anomalous dimensions of operators in the 6d (2,0) theory, linking conformal bootstrap data to higher-derivative corrections in M-theory's supergravity limit.

## Contribution

It introduces the first recursion relations for anomalous dimensions in the 6d (2,0) theory, connecting conformal field theory calculations with M-theory corrections.

## Key findings

- Derived recursion relations for 6d (2,0) theory operators
- Connected conformal block data to supergravity corrections
- Provided analogous relations in a toy non-supersymmetric model

## 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 $AdS_7 \times S^4$ 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.