Abstract
The Toverline{T} deformation of a conformal field theory has a dual description as a cutoff AdS3 spacetime, at least at the level of pure 3d gravity. We generalize this deformation in such a way that it builds up a patch of bulk dS3 spacetime instead. At each step along the trajectory in the space of 2d theories, the theory is deformed by a specific combination of Toverline{T} and the two-dimensional cosmological constant. This provides a concrete holographic dual for the warped throat on the gravity side of the dS/dS duality, at leading order in large central charge. We also analyze a sequence of excitations of this throat on both sides of the duality, as well as the entanglement entropy. Our results point toward a mechanism for obtaining de Sitter solutions starting from seed conformal field theories with AdS duals.
Highlights
The bulk dS and bulk AdS theories agree in the highly redshifted region sin(h)2 w 1, indicating that the dual of dS will involve some kind of irrelevant deformation relative to the CFT dual of AdS
As we will see in this paper, the field theory side of the duality can be adjusted to account for new features of the bulk, such as dS rather than AdS geometry
We have engineered a trajectory in the space of 2d theories which produces the cutoff dS2 and tall dS2μ configurations that we studied on the gravity side, realizing our initial goal of reconstructing the bulk de Sitter geometry via a well-defined holographic dual
Summary
We will start our gravity-side analysis by deriving the generalization of a basic equation relating the trace of the stress-energy tensor to T T, along the lines of [20, 24, 25]. The calculation is presented in appendix A This generalizes equation (3.7) in [24]. In the single-scale case treated in [20, 24], this corresponds to a deformation generated at the level of the action by dS = 2π. Which we will refer to as the trace flow equation This contains an additional term compared to the case of bulk AdS [25].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
