论文标题
Alads $ _4 $的Einstein-Scalar理论的新能量和全息限制为变形CFT $ _3 $
A new energy bound for Einstein-Scalar theory in AlAdS$_4$ and holographic bound for deformed CFT$_3$
论文作者
论文摘要
在这项工作中，我们得出了高能数量的上限，即真空能量和自由能，用于在四维渐近渐近的局部抗DE保姆（ALADS）时空的静态解决方案，其具有非繁琐标量表的局部抗DE安置（ALADS），而标量质量质量参数（$ m^2 $）是相等的。该系统是在三个维度上强烈耦合共形场理论（CFT）的全息二，由相关或边缘标量尺寸的相关标量操作员变形$δ= 1、2、3 $。该结合是从纯粹的引力的角度得出的，无论阿拉德的静态保形边界的不均匀性和变形的来源。我们在简单的设置中演示绑定，并检查已知的先前界限的一致性。
In this work, we derive an upper bound on energetic quantities, namely vacuum energy and free energy, for static solutions of Einstein-Scalar theory in four dimensional asymptotically locally Anti-de Sitter(AlAdS) spacetime with a nontrivial scalar potential where the scalar field mass parameter($m^2$) is equal to 0 or -2. This system is the holographic dual of strongly coupled conformal field theory(CFT) in three dimensions being deformed by a relevant or marginal scalar operator of conformal dimension $Δ=1, 2, 3$. The bound is derived from a purely gravitational perspective regardless of the inhomogeneity of the static conformal boundary of AlAdS and the source of the deformation. We demonstrate the bound in simple settings and check the consistency with the known previous bounds.
