论文标题
BFSS矩阵模型中的软重力
Soft Gravitons in the BFSS Matrix Model
论文作者
论文摘要
BFSS提出，渐近平坦的M理论是对矩阵量子力学的$ n $限制，描述了$ n $ n $ noderativistic d0-branes。对渐近平面空间中任何量子重力理论的软对称性的最新见解应用于BFSS矩阵模型。结果表明，软重力是通过将等级固定在较大$ n $ m理论限制中的一材中实现的，而不是用$ n $ for hard Gravitons固定的线性缩放。软膨胀是通过大型$ N $扩展确定的，并且软定理成为这种子矩阵激发的量子机械散射的通用公式。该公式被证明是大型IIA $ u（1）_ {RR} $渐近量规的对称性的大型IIA $ U（1）的病房身份，其矩阵模型的对称性是渐近的渐近边界在将来和过去的静态无限。
BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically flat space are applied to the BFSS matrix model. It is shown that soft gravitons are realized by submatrices whose rank is held fixed in the large $N$ M-theory limit, rather than the usual linear scaling with $N$ for hard gravitons. The soft expansion is identified with the large $N$ expansion and the soft theorem becomes a universal formula for the quantum mechanical scattering of such submatrix excitations. This formula is shown to be the Ward identity of large type IIA $U(1)_{RR}$ asymptotic gauge symmetry in the matrix model, whose asymptotic boundaries are at future and past timelike infinity.
