论文标题
3d de Sitter的引力威尔逊线
Gravitational Wilson Lines in 3D de Sitter
论文作者
论文摘要
我们在Euclidean DS $ _3 $重力的静态贴片中构建本地探针。这些探针是威尔逊线操作员，通过利用3D重力的Chern-Simons配方设计。我们的处方使用$ SO（4）\ simeq su（2）_l \ times su（2）_r $的非单身表示形式，我们评估Wilson Line满足SINGLET条件的状态。我们讨论如何重现DS $ _3 $，散装字段的构建和准模式频谱中绿色大规模标量场的功能。我们还通过$ sl（2，\ mathbb {c}）$ chern-simons理论讨论了通货膨胀补丁中洛伦兹签名的构建的解释。
We construct local probes in the static patch of Euclidean dS$_3$ gravity. These probes are Wilson line operators, designed by exploiting the Chern-Simons formulation of 3D gravity. Our prescription uses non-unitary representations of $so(4)\simeq su(2)_L\times su(2)_R$, and we evaluate the Wilson line for states satisfying a singlet condition. We discuss how to reproduce the Green's functions of massive scalar fields in dS$_3$, the construction of bulk fields, and the quasinormal mode spectrum. We also discuss the interpretation of our construction in Lorentzian signature in the inflationary patch, via $SL(2,\mathbb{C})$ Chern-Simons theory.
