论文标题
重新审视DS/CFT中的波函数:主系列和双跟踪变形
Wavefunctions in dS/CFT revisited: principal series and double-trace deformations
论文作者
论文摘要
我们研究了Sitter时空上重标量的波形及其对DS/CFT对应关系的影响。与互补系列中的光场相反,主要系列中的重场在宇宙学范围之外振荡。结果,波函数中的二次项不遵循简单的缩放,因此很难用共形的两点函数识别它。在本文中,我们证明了它应被解释为在循环RG流上的两点函数,该函数是通过双CFT的双轨变形获得的。这类似于与散装标量的非依赖性广告/CFT的情况,其质量平方在Breitenlohner-Freedman(BF)结合下。我们还提供了一个新的DS/CFT字典DE Sitter两点函数,并在可能的双CFT中提供了共形的两点函数。
We study wavefunctions of heavy scalars on de Sitter spacetime and their implications to dS/CFT correspondence. In contrast to light fields in the complementary series, heavy fields in the principal series oscillate outside the cosmological horizon. As a consequence, the quadratic term in the wavefunction does not follow a simple scaling and so it is hard to identify it with a conformal two-point function. In this paper, we demonstrate that it should be interpreted as a two-point function on a cyclic RG flow which is obtained by double-trace deformations of the dual CFT. This is analogous to the situation in nonrelativistic AdS/CFT with a bulk scalar whose mass squared is below the Breitenlohner-Freedman (BF) bound. We also provide a new dS/CFT dictionary relating de Sitter two-point functions and conformal two-point functions in the would-be dual CFT.