Entanglement Entropy for $TT$ deformed CFT in general dimensions

Understand

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor.

• Such a deformation has been proposed to be holographically dual to an $AdS_{d+1}$ bulk with a hard radial cut-off.
• We compute the exact partition function and find the entanglement entropy from the field theory side in various dimensions and compare with the corresponding holographic results.
• We also compute renormalized entanglement entropy both in field theory and holography and find complete agreement between them.