Entropic c-functions in T(T)over-bar, J(T)over-bar, T(J)over-bar deformations

We study the holographic entanglement entropy of an interval in a quantum field theory obtained by deforming a holographic two-dimensional conformal field theory via a general linear combination of irrelevant operators that are closely related to, but nonetheless distinct from, T (T) over bar, J (K) over bar and T (J) over bar, and compute the Casin-Huerta entropic c-function. In the ultraviolet, for a particular combination of the deformation parameters, we find that the leading order dependence of the entanglement entropy on the length of the interval is given by a square root but not logarithmic term. Such power law dependence of the entanglement entropy on the interval length is quite peculiar and interesting. We also find that the entropic c-function is ultraviolet regulator independent, and along the renormalization group upflow towards the ultraviolet, it is non-decreasing. We show that in the ultraviolet the entropic c-function exhibits a power law divergence as the interval length approaches a minimum finite value determined in terms of the deformation parameters. This value sets the non-locality scale of the theory. (C) 2020 The Author(s). Published by Elsevier B.V.