标题： 边界Lifshitz场论的全息理论 显示英文标题

标题： Holography for Boundary Lifshitz Field Theory

摘要： 我们提出了一种关于边界Lifshitz场论（BLFT）的全息对偶性。 类似于全息BCFT，全息BLFT可以通过在世界体积（EOW）膜的端点上施加齐次纽曼边界条件（NBC）或共形边界条件（CBC）来一致地定义。 我们提出了$g$-函数，并推导出这两种全息BLFT的$g$-定理。 在场论方面，我们考虑了路径积分也包括反弹到边界上的BLFT。对于Lifshitz不变量基态的区间纠缠熵，在驻点近似下进行了计算，并且发现当区间非常靠近或远离边界时，它与全息结果精确一致。 显示英文摘要

摘要： We propose a holographic duality for the boundary Lifshitz field theory (BLFT). Similar to holographic BCFT, holographic BLFT can be consistently defined by imposing either a Neumann boundary condition (NBC) or a conformal boundary condition (CBC) on the end of the world (EOW) brane. We propose $g$-functions and derive $g$-theorem for these two types of holographic BLFT. On the field theory side, we consider BLFT whose path integral is prescribed to include also paths bouncing off the boundary. The entanglement entropy for an interval for the Lifshitz invariant ground state is computed in the saddle point approximation, and is found to agree precisely with the holographic result in both limits when the interval is very close or very far away from the boundary.