Constraints on anisotropic RG flows from the holographic entanglement entropy

In the context of gauge/gravity duality, using proposed candidate $c$-function, which is derived from entanglement entropy a strip-shaped region, we investigate RG flow for $d+1$-dimensional quantum field theories with broken Lorentz and rotational symmetries in IR, but preserved conformal invariance UV boundary. We examine conditions monotonicity $c$-function holographic anisotropic dual to Einstein gravity via constraints imposed by null energy conditions. consider near IR behaviors identify sufficient that guarantee $c$ function decreases monotonically along flows.