论文标题
使用CFT模块化哈密顿人重建大量运动方程
Reconstructing bulk equation of motion using CFT modular Hamiltonians
论文作者
论文摘要
在批量重建的框架中，我们阐明了CFT模块化汉密尔顿对批量操作员的作用，批量操作员的可能运动方程与与此类散装场相对应的无穷大的电荷分布之间的关系。特别是对于与重力相互作用或与量规场相互作用的标量场，我们显示了CFT对模块化汉密尔顿的作用的考虑如何限制可能与散装仪表不变性和差异不变性一致的可能的大体运动方程。实际上，我们表明，要求模块化的哈密顿量对穿着的散装标量算子的作用与一些未知的简单运动方程兼容，在合理的假设下修复了运动方程和模块化汉密尔顿的动作，一旦第一阶$ \ frac $ \ frac {1}} {1} {n} $项已知。
In the framework of bulk reconstruction, we elucidate the relationship between the action of CFT modular Hamiltonians on bulk operators, the possible equation of motion for the bulk operators, and the charge distribution at infinity corresponding to such bulk fields. In particular for scalar fields interacting with gravity or with gauge fields, we show how CFT considerations of the action of the modular Hamiltonian constrain the possible bulk equation of motion to be consistent with bulk gauge invariance and diffeomorphism invariance. In fact we show that requiring that the action of the modular Hamiltonian on a dressed bulk scalar operator be compatible with some unknown simple equation of motion, fixes, under reasonable assumptions, both the equation of motion and the action of the modular Hamiltonian once the first order $\frac{1}{N}$ terms are known.
