论文标题

扩展的纠缠第一法的新颖方面

Novel Aspects of the Extended First Law of Entanglement

论文作者

Rosso, Felipe, Svesko, Andrew

论文摘要

使用ADS/CFT,以前已将延长的纠缠第一定律用于真空减少到Minkowski的球。该陈述不仅包括国家的扰动,还包括通过广义中心电荷的变化,还包括保形场理论(CFT)。我们阐明了一些先前被忽视的微妙之处,并使用简单的参数将先前的推导推广到散装中的任意重力理论以及边界CFT中的新区域。我们的构造也适用于二维批量理论,并接受了三维散装的有趣扩展,这对扩展黑洞热力学的热力学体积产生了奇怪的结果。我们讨论有关扩展的纠缠第一法的未来前景。

Using AdS/CFT an extended first law of entanglement has been previously derived for the vacuum reduced to a ball in Minkowski. The statement not only includes perturbations of the state but also of the conformal field theory (CFT), via variations of the generalized central charge. We clarify some subtleties previously overlooked and use simple arguments to generalize prior derivations to arbitrary gravity theories in the bulk as well as new regions in the boundary CFT. Our construction also applies to two-dimensional bulk theories and admits an interesting extension for a three-dimensional bulk, providing a curious result regarding the thermodynamic volume in extended black hole thermodynamics. We discuss future prospects regarding the extended first law of entanglement.

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