标题： 两个波函数和S^1 x S^2上的dS/CFT 显示英文标题

标题： Two Wave Functions and dS/CFT on S^1 x S^2

摘要： 我们在爱因斯坦引力中正宇宙学常数的S^1 x S^2边界上评估隧穿和哈特尔-霍金波函数。 在整体体积较大的极限下，这两种波函数的经典预测包括一组施瓦茨希尔德-德西特黑洞。 我们表明，在经典集合上的哈特尔-霍金树级测度在小S^1极限下收敛。 在这个区域可以识别出隧穿态中的发散。 然而我们将这种发散归因于与负质量黑洞相关的非物理鞍点分支的贡献。 使用一种所有鞍点都有内部欧几里得反德西特区域的表示方法，我们还将半经典哈特尔-霍金波函数的全息表述推广到S^1 x S^2边界。 显示英文摘要

摘要： We evaluate the tunneling and Hartle-Hawking wave functions on S^1 x S^2 boundaries in Einstein gravity with a positive cosmological constant. In the large overall volume limit the classical predictions of both wave functions include an ensemble of Schwarzschild-de Sitter black holes. We show that the Hartle-Hawking tree level measure on the classical ensemble converges in the small S^1 limit. A divergence in this regime can be identified in the tunneling state. However we trace this to the contribution of an unphysical branch of saddle points associated with negative mass black holes. Using a representation in which all saddle points have an interior Euclidean anti-de Sitter region we also generalise the holographic formulation of the semiclassical Hartle-Hawking wave function to S^1 x S^2 boundaries.