Entanglement Entropy in $T\overline{T}$-Deformed CFT

Understand

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory.

• For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT.
• We compute the correction due to the deformation up to the leading order of the deformation parameter in the framework of the conformal perturbation theory.
• We find that the correction to the entanglement entropy is nonvanishing in the finite temperature case, while it is vanishing in the finite size case.