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arXiv · 1705.05392

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

Chi-Ming Chang·Ying-Hsuan Lin
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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${}_7\times{\rm S}^4$/$\mathbb{Z}_2$.

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Chi-Ming Chang, Ying-Hsuan Lin. 2017-05-15. Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions). https://doi.org/10.1007/jhep08(2017)128

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