标题： 在壳引力作用量与线性径向对偶性 显示英文标题

标题： The On-shell Gravity Action and Linear Dilaton Holography

摘要： 在有效面上计算欧几里得时空作用量提供了一种有用的方法，既可以测试全息提议，也可以确定弦理论球面划分函数。 我们考虑一类三维线性稀释时空，对于这些时空有共享了$T\overline{T}$变形共形场论特征的全息提议。 我们通过确定用于良好定义变分原理和有限有效面上作用量所需的边界项，将全息重整化程序扩展到AdS之外的这类几何结构。 我们表明，从有效面上作用量确定的时空能量或质量与$T\overline{T}$变形的二维共形场论能量相匹配。 这为$T\overline{T}$变形在此全息对应中的作用提供了更多证据。 显示英文摘要

摘要： Computing the Euclidean spacetime action on-shell provides a useful way of both testing holographic proposals and determining the string theory sphere partition function. We consider families of three-dimensional linear dilaton spacetimes for which there are holographic proposals that share features of a $T\overline{T}$-deformed CFT. We extend the holographic renormalization program beyond AdS to this class of geometries by identifying the boundary terms needed for a well-defined variational principle and a finite on-shell action. We show that the spacetime energy or mass determined from the on-shell action matches the $T\overline{T}$-deformed two-dimensional CFT energy. This provides more evidence for the role of the $T\overline{T}$ deformation in this holographic correspondence.