Wavefunctions in dS/CFT revisited: principal series and double-trace deformations

• Main Authors: Hiroshi Isono, Hoiki Madison Liu, Toshifumi Noumi
• Format: Article
• Language: English
• Published: SpringerOpen 2021-04-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Space-Time Symmetries; Conformal Field Theory; Renormalization Group
• Online Access: https://doi.org/10.1007/JHEP04(2021)166

Abstract 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.