AI 中文总结
该研究将n点单负引力子振幅与A. Sen的指标问题关联，在BFSS矩阵理论中通过BPS壁跨越公式计算并匹配引力结果，验证其满足w_{1+∞}软定理，还证明其可由引力子与平面波散射实现。
AI 中文摘要
当n点单负引力子振幅被嵌入超引力时，在保留部分超对称性的特殊运动学区域内非零。我们通过将其与A. Sen研究的指标问题关联，在BFSS矩阵理论框架内计算这些振幅。更确切地说，单负振幅来自计数四维N=4超杨-米尔斯库仑分支中BPS态的指标。我们在特定运动学区域内，通过使用BPS壁跨越公式计算该指标并将其与引力结果匹配，明确验证了这一关联。我们进一步利用BPS壁跨越证明，该指标在任意运动学区域内满足一系列w_{1+∞}软定理，再次与引力结果匹配。最后，我们证明对于某些运动学，单负引力子振幅可通过引力子与平面波散射实现。
英文摘要
The $n$-point single-minus graviton amplitudes are nonzero in a special kinematic region that preserves some supersymmetry when embedded in supergravity. We compute these amplitudes within the BFSS matrix theory by relating them to an index problem considered by A. Sen. More precisely, the single-minus amplitudes are obtained from an index that counts BPS states in the Coulomb branch of four-dimensional ${\cal N}=4$ super Yang-Mills. We explicitly check this relation in a specific kinematic region by computing the index using BPS wall-crossing formulae and matching it to the gravity result. We further employ BPS wall-crossing to show that the index satisfies a tower of $w_{1+\infty}$ soft theorems in any kinematic regime, again matching gravity. Finally, we show that for certain kinematics, the single-minus amplitudes can be realized by scattering a graviton off a plane wave.
Comments29 pages, 11 figures
