Entropic c–functions in T T ￣ , J T ￣ , T J ￣ deformations

摘要

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,TT￣,JT￣andTJ￣, and compute the Casin–Huerta entropicc–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 entropicc–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 entropicc–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.