标题： 纠缠熵第一定律的广义证明 显示英文标题

标题： Generalised proofs of the first law of entanglement entropy

摘要： 本文利用全息重整化发展了纠缠熵全息第一定律的广义证明。 这些证明建立了关于体积度规非标准化变化的全息第一定律，因此放宽了早期工作中对变化所施加的边界条件。 之前已有人探讨过通过协变相空间分析计算守恒荷时的边界项和反项贡献。 在这里我们详细讨论了在证明第一定律的协变相空间方法中如何处理反项贡献。 我们的方法可以推广到将其他全息信息分析扩展到更广泛的引力背景类。 显示英文摘要

摘要： In this paper we develop generalised proofs of the holographic first law of entanglement entropy using holographic renormalisation. These proofs establish the holographic first law for non-normalizable variations of the bulk metric, hence relaxing the boundary conditions imposed on variations in earlier works. Boundary and counterterm contributions to conserved charges computed via covariant phase space analysis have been explored previously. Here we discuss in detail how counterterm contributions are treated in the covariant phase approach to proving the first law. Our methodology would be applicable to generalizing other holographic information analyses to wider classes of gravitational backgrounds.