论文标题
量子纠缠措施通过超标准违反几何形状而在一般D中切断有限的径向,$θ$从新兴的全球对称性中
Quantum entanglement measures from Hyperscaling violating geometries with finite radial cut off at general d, $θ$ from the emergent global symmetry
论文作者
论文摘要
$ t {\覆盖{t}} $在边界上的量子纠缠措施,变形系数$ $ $,带有有限的径向截止$ρ_c$的双散装几何形状,纠缠区域是单个或脱节区域的单个或脱节间隔。 $(l,ρ_C)$平面,因为它是无关的变形。在这里,为了通过RT处方找到量子测量,从违反大量几何形状并切断有限的径向隔离,我们发现数学上不可能获得这样的全球形式,因为转折点$ρ_0(l,ρ_c)$,在任何偏置方面都无法溶于全球范围,在某些方面均无法溶于某些量子,最多可以溶于全球范围。 $(l,ρ_C)$飞机!但是,为了找到这种全球形式,我们发现,在使用RT形式主义的应用中,从考虑的几何形状出现了一种全球对称结构,在2D参数空间上出现,无论D,$θ$与全球b.c的全球b.c和其他一致性条件无关,该条件与$ρ_0(l,ρ_c)$ GLOBALING $ unife $ po $ ll> $ c:epy和$ρ_c$ c.表达式,非常接近另一个制度的确切。以$ρ_0(l,ρ_c)$进行的一些量子纠缠量,我们在变形的理论中对它们的直观预测行为进行了相应的行为。讨论了这种紧急对称性对这些量子测量的影响,尽管后来的方面经过了适当详细的研究,但仍探索了这种对称性的可能时间来源。
The quantum entanglement measures for $T{\overline{T}}$ deformed field theory on boundary, deformation coefficient $μ$, with dual bulk geometry with finite radial cutoff $ρ_c$, for entangling region is single or disjoint intervals on the boundary, of length l is expected to give global description of these measures over the complete parameter-regime of $(l, μ)$ or on 2D $(l,ρ_c)$ plane, because it is solvable irrelevant deformation. Here, to find quantum-measures through RT prescription, from Hyperscaling violating bulk geometry with finite radial cut off, we found mathematically it is impossible, to obtain such global form, since the turning point $ρ_0 (l,ρ_c)$, neither in its exact or in any perturbative form, is solvable globally, can describe these quantum measures at most locally over some specific regime in 2D $(l,ρ_c)$ plane! However, to find such global form, we found, on application of RT formalism, a global symmetry structure, from the considered geometry emerges, over 2D parameter-space, irrespective of d, $θ$, which alongwith global b.c and other consistency conditions, fix $ρ_0(l,ρ_c)$ globally, exactly in $l >> ρ_c $ and $ρ_c >> l$ regime and as some interpolating expressions, very close to the exact one in other regime. Some of the quantum entanglement measures with this $ρ_0 (l,ρ_c)$, with our intuitively predicted behaviour for them in the deformed theory, derived and shown, behaving accordingly. The impact of this emergent symmetry on these quantum-measures is discussed, the possible space time origin of this symmetry is explored, although the later aspect is subjected to a proper and detailed study.