标题： 将代数 Ryu-Takayanagi 公式添加到代数重建定理中 显示英文标题

标题： Adding the algebraic Ryu-Takayanagi formula to the algebraic reconstruction theorem

摘要： 研究全息理论的巨大进展在于，全息性可以通过量子纠错来解释，这使得纠缠楔形重建、Jafferis-Lewkowycz-Maldacena-Suh公式、径向对易性和Ryu-Takayanagi公式相等。 我们称这种等价关系为重建定理，通过代数语言对其无限维推广的信念被认为排除了Ryu-Takayanagi公式的代数版本。 然而，关于引力代数的最新发展表明，包含Ryu-Takayanagi公式的代数版本是合理的。 在本文中，我们证明对于类型I/II因子的情况，这种包含成立，这些因子被期望用于描述全息理论。 显示英文摘要

摘要： A huge progress in studying holographic theories is that holography can be interpreted via the quantum error correction, which makes equal the entanglement wedge reconstruction, the Jafferis-Lewkowycz-Maldacena-Suh formula, the radial commutativity and the Ryu-Takayanagi formula. We call the equivalence the reconstruction theorem, whose infinite-dimensional generalization via algebraic language was believed to exclude the algebraic version of the Ryu-Takayanagi formula. However, recent developments regarding gravitational algebras have shown that the inclusion of the algebraic Ryu-Takayanagi formula is plausible. In this letter, we prove that such inclusion holds for the cases of type I/II factors, which are expected to describe holographic theories.