标题： 引力零初数据生成函数 显示英文标题

标题： Generating functional for gravitational null initial data

摘要： 在三维流形上引入了一种场论，其场方程是广义相对论在三维零超曲面上的约束方程。 底层边界作用量由两份自对偶Ashtekar变量的带电Chern-Simons项、边界处零旗的动能项以及跨越界面的旋量系数的附加衔接条件组成。 事实上，场内容出现了倍增，因为零超曲面将被视为时空相邻板之间的内部边界。 论文最后提出了一种通过辅助边界场论本身在体中构造引力跃迁幅度的方法，即通过在二维角上拼接边缘态的幅度，从而提供了一种在光锥上对全息原理的准局部实现的方案。 显示英文摘要

摘要： A field theory on a three-dimensional manifold is introduced, whose field equations are the constraint equations for general relativity on a three-dimensional null hypersurface. The underlying boundary action consists of two copies of the dressed Chern-Simons term for self-dual Ashtekar variables, a kinetic term for the null flag at the boundary plus additional junction conditions for the spin coefficients across the interface. In fact, there is a doubling of the field content, because the null hypersurface will be considered as an internal boundary between two adjacent slabs of spacetime. The paper concludes with a proposal for a construction of the gravitational transition amplitudes in the bulk via the auxiliary boundary field theory alone, namely by gluing amplitudes for edge states across two-dimensional corners, thus providing a proposal for a quasi-local realisation of the holographic principle at the light front.