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, $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$, 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.

我们研究了量子场论中区间的全息纠缠熵，该量子纠缠熵是通过不相关算子的一般线性组合使全息二维共形场理论变形而获得的，该无关线性算子与之密切相关，但又与之不同， $Ť\stackrel{〜}{Ť}$， $Ĵ\stackrel{〜}{Ť}$ 和 $Ť\stackrel{〜}{Ĵ}$，并计算Casin-Huerta熵c函数。在紫外线下，对于变形参数的特定组合，我们发现纠缠熵对间隔长度的前导依赖性由平方根而不是对数项给出。纠缠熵对间隔长度的这种幂定律依赖性非常独特且有趣。我们还发现，熵c函数是独立于紫外线调节剂的，并且沿着重归一化基团向上流向紫外线，它是不变的。我们证明在紫外线下，熵c当间隔长度接近根据变形参数确定的最小有限值时，-函数表现出幂律散度。该值设置了理论的非局部标度。