We study holographic entanglement entropy and holographic complexity in a two-charge, 1 4 $$ \frac{1}{4} $$ -BPS family of solutions of type IIB supergravity, controlled by one dimensionless parameter. All the geometries in this family are asymptotically AdS 3 × 𝕊 3 × 𝕋 4 and, varying the parameter that controls them, they interpolate between the global AdS 3 × 𝕊 3 × 𝕋 4 and the massless BTZ 3 × 𝕊 3 × 𝕋 4 geometry. Due to AdS/CFT duality, these geometries are dual to pure CFT heavy states. We find that there is no emergence of entanglement shadow for all the values of the parameter and we discuss the relation with the massless BTZ result, underlying the relevance of the nature of the dual states. We also compute the holographic complexity of formation of these geometries, finding a nice monotonic function that interpolates between the pure AdS 3 result and the massless BTZ one.

中文翻译：

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微态几何的全息纠缠熵和复杂性

我们研究了两个电荷的全息纠缠熵和全息复杂性，1 4 $$ \frac{1}{4} $$ -BPS 系列 IIB 超重力解决方案，由一个无量纲参数控制。该系列中的所有几何图形都是渐近 AdS 3 × 𝕊 3 × 𝕋 4 并且，通过改变控制它们的参数，它们在全局 AdS 3 × 𝕊 3 × 𝕋 4 和无质量 BTZ 3 × 𝕊 3 × 𝕋 4 几何结构之间进行插值. 由于 AdS/CFT 对偶性，这些几何形状对纯 CFT 重态是对偶的。我们发现对于所有参数值都没有出现纠缠阴影，我们讨论了与无质量 BTZ 结果的关系，这是双态性质的相关性的基础。我们还计算了这些几何形状的全息复杂性，