$T\bar{T}+\Lambda_2$ Deformed CFT on the Stretched dS$_3$ Horizon

TL;DR

This paper explores how a specific deformation of a holographic conformal field theory relates to the stretched cosmological horizon in de Sitter space, enabling the calculation of its entropy with quantum corrections.

Contribution

It demonstrates a novel connection between $Tar{T}+\Lambda_2$ deformed CFTs and the physics of the stretched dS$_3$ horizon, providing a method to compute horizon entropy including logarithmic corrections.

Findings

Computed the entropy of the stretched cosmic horizon.

Included logarithmic quantum corrections to the horizon entropy.

Linked holographic CFT deformations to cosmological horizon physics.

Abstract

The $T\bar{T}+\Lambda_2$ deformation of a Holographic CFT on a cylinder (or torus in Euclidean signature) inhabits the stretched cosmological horizon in dS$_3$ when the deformation parameter is tuned to a particular value. I will describe how this insight allows us to compute the entropy of the stretched cosmic horizon including the logarithmic correction.