  In a $d$-dimensional conformal field theory, it has been known that a
relevant deformation operator with the conformal dimension,
$\Delta=\frac{d+2}{2}$, generates a logarithmic correction to the entanglement
entropy. In the large 't Hooft coupling limit, we can investigate such a
logarithmic correction holographically by deforming an AdS space with a massive
scalar field dual to the operator with $\Delta=\frac{d+2}{2}$. There are two
sources generating the logarithmic correction. One is the metric deformation
and the other is the minimal surface deformation. In this work, we investigate
the change of the entanglement entropy caused by the minimal surface
deformation and find that the second order minimal surface deformation leads to
an additional logarithmic correction.

High Energy Physics - Theory