# Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)

## TL;DR

This paper applies the bootstrap approach to six-dimensional ${
m N}=(1,0)$ superconformal field theories, deriving bounds on central charges and exploring the spectrum of the rank-one E-string theory, with implications for M-theory.

## Contribution

It introduces the bootstrap analysis for 6D superconformal theories with E8 flavor symmetry, providing bounds on central charges and insights into the E-string spectrum.

## Key findings

- Universal bounds on $C_T$ and $C_J$ for 6D SCFTs.
- Conjecture that the rank-one E-string saturates the lower bound on $C_J$.
- Numerical spectrum of long multiplets in the E-string theory.

## Abstract

We bootstrap ${\cal N}=(1,0)$ superconformal field theories in six dimensions, by analyzing the four-point function of flavor current multiplets. Assuming $E_8$ flavor group, we present universal bounds on the central charge $C_T$ and the flavor central charge $C_J$. Based on the numerical data, we conjecture that the rank-one E-string theory saturates the universal lower bound on $C_J$, and numerically determine the spectrum of long multiplets in the rank-one E-string theory. We comment on the possibility of solving the higher-rank E-string theories by bootstrap and thereby probing M-theory on AdS${}_7\times{\rm S}^4$/$\mathbb{Z}_2$.