Carving out the end of the world or (superconformal bootstrap in six dimensions)

• Main Authors: Chi-Ming Chang, Ying-Hsuan Lin
• Format: Article
• Language: English
• Published: SpringerOpen 2017-08-01
• Series: Journal of High Energy Physics
• Subjects: Conformal Field Models in String Theory; Conformal Field Theory; Extended Supersymmetry; M-Theory
• Online Access: http://link.springer.com/article/10.1007/JHEP08(2017)128

Abstract We bootstrap N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ 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 × S 4 / ℤ 2 $$ {\mathrm{AdS}}_7\times {\mathrm{S}}^4/{\mathrm{\mathbb{Z}}}_2 $$ .