Title: The Asymptotic Dynamics of de Sitter Gravity in three Dimensions Show Chinese title

Title: 三维时空中的德西特引力渐近动力学

Abstract: We show that the asymptotic dynamics of three-dimensional gravity with positive cosmological constant is described by Euclidean Liouville theory. This provides an explicit example of a correspondence between de Sitter gravity and conformal field theories. In the case at hand, this correspondence is established by formulating Einstein gravity with positive cosmological constant in three dimensions as an SL(2,C) Chern-Simons theory. The de Sitter boundary conditions on the connection are divided into two parts. The first part reduces the CS action to a nonchiral SL(2,C) WZNW model, whereas the second provides the constraints for a further reduction to Liouville theory, which lives on the past boundary of dS_3. Show Chinese abstract

Abstract: 我们证明了具有正宇宙学常数的三维引力的渐近动力学由欧几里得Liouville理论描述。 这提供了一个德西特引力与共形场论之间对应关系的显式示例。 在这种情况中，这种对应关系是通过将具有正宇宙学常数的三维爱因斯坦引力表述为SL(2,C) Chern-Simons理论来建立的。 连接上的德西特边界条件分为两部分。 第一部分将CS作用量简化为非手征的SL(2,C) WZNW模型，而第二部分则提供了进一步约简为Liouville理论的约束条件，该理论存在于dS_3的过去边界上。