LAUSR

A bstractWe bootstrap N=10$$ \mathcal{N}=\left(1,0\right) $$ superconformal field theories in six dimensions, by analyzing the four-point function of flavor current multiplets. Assuming E8 flavor group, we present universal bounds on the central charge CT and the flavor central charge CJ. Based on the numerical data, we conjecture that the rank-one E-string theory saturates the universal lower bound on CJ, 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 AdS7×S4/ℤ2$$ {\mathrm{AdS}}_7\times {\mathrm{S}}^4/{\mathrm{\mathbb{Z}}}_2 $$.