论文标题
M理论在散射幅度的空间中在哪里?
Where is M-theory in the space of scattering amplitudes?
论文作者
论文摘要
我们使用S-Matrix Bootstrap来雕刻九,十和11个维度的统一,分析,交叉对称和超对称重力散射幅度。我们在十个维度上扩展并改善了以前工作的数值方法。这里采用的一个关键新工具是天体中的单位性。在所有维度上,我们发现Wilson系数$α$的最小值(控制对最大超级重力的领先校正)的最低值非常接近,但不等于在SuperString理论或M理论中实现的最小值。这种很小的差异可能与我们的数值极端幅度未很好地描述的非弹性效应有关。尽管$α$在M理论中具有独特的价值,但我们没有发现11D中$α$的上限的证据。
We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous work in ten dimensions. A key new tool employed here is unitarity in the celestial sphere. In all dimensions, we find that the minimal allowed value of the Wilson coefficient $α$, controlling the leading correction to maximal supergravity, is very close but not equal to the minimal value realized in Superstring theory or M-theory. This small difference may be related to inelastic effects that are not well described by our numerical extremal amplitudes. Although $α$ has a unique value in M-theory, we found no evidence of an upper bound on $α$ in 11D.