标题： 无副本对称性的广义引力熵 显示英文标题

标题： Generalized gravitational entropy without replica symmetry

摘要： 我们探讨了Lewkowycz和Maldacena广义熵构造的几个扩展，包括一种不依赖于保持体内部复制对称性的表述。 我们表明，对解析延续的复制度规的一个适当通用假设，使我们能够解决广义相对论之外的引力场方程所需的灵活性。 作为这一观察的应用，我们研究了具有小Gauss-Bonnet耦合的Einstein-Gauss-Bonnet引力，并推导出全息纠缠熵必须在使Jacobson-Myers熵极值的表面上进行评估的条件。 我们发现，在广义相对论和Einstein-Gauss-Bonnet引力中，复制对称性破缺项被场方程所允许，这表明它们并不普遍消失。 显示英文摘要

摘要： We explore several extensions of the generalized entropy construction of Lewkowycz and Maldacena, including a formulation that does not rely on preserving replica symmetry in the bulk. We show that an appropriately general ansatz for the analytically continued replica metric gives us the flexibility needed to solve the gravitational field equations beyond general relativity. As an application of this observation we study Einstein-Gauss-Bonnet gravity with a small Gauss-Bonnet coupling and derive the condition that the holographic entanglement entropy must be evaluated on a surface which extremizes the Jacobson-Myers entropy. We find that in both general relativity and Einstein-Gauss-Bonnet gravity replica symmetry breaking terms are permitted by the field equations, suggesting that they do not generically vanish.