Perimeter Institute for Theoretical Physics, 31 Caroline Street, Waterloo, Ontario N2L 2Y5, Canada.
Phys Rev Lett. 2013 Apr 19;110(16):161301. doi: 10.1103/PhysRevLett.110.161301. Epub 2013 Apr 16.
This Letter presents a new formula which is conjectured to yield all tree amplitudes in N=8 supergravity. The amplitudes are described in terms of higher degree rational maps to twistor space. The resulting expression has manifest N=8 supersymmetry and is manifestly permutation symmetric in all external states. It depends monomially on the infinity twistor that explicitly breaks conformal symmetry to Poincaré symmetry. We have carried out various nontrivial analytic and numerical checks of the formula for up to eight external states with arbitrary helicities.
这封信提出了一个新的公式，据推测该公式可以产生 N=8 超引力中的所有树振幅。这些振幅是用高次有理映射到扭子空间来描述的。所得的表达式具有明显的 N=8 超对称性，并且在所有外部态中是明显的置换对称的。它在无穷大扭子上是单项式的，该扭子显式地将共形对称性打破为庞加莱对称性。我们已经对多达八个外部态的任意螺旋度的公式进行了各种非平凡的分析和数值检验。
