Gravitational Duals from Equations of State
Yago Bea, Raul Jimenez, David Mateos, Shuheng Liu, Pavlos Protopapas, Pedro Tarancón-Álvarez, Pablo Tejerina-Pérez
全息理论将五个维度的引力理论与平面空间中的四维量子场理论联系起来。 在这张图下,场论的状态方程被编码在引力理论的黑洞解中。 解决五维爱因斯坦方程来确定状态方程是一个算法,直接的问题。 确定产生规定状态方程的引力理论是一个更具挑战性的反向问题。 我们提出了一种基于物理知情神经网络解决这个问题的新方法。 由此产生的算法不仅是数据驱动的,而且还由爱因斯坦方程的物理学所告知。 我们成功地将其应用于具有交叉、一阶和二阶相变的理论。
Holography relates gravitational theories in five dimensions to four-dimensional quantum field theories in flat space. Under this map, the equation of state of the field theory is encoded in the black hole solutions of the gravitational theory. Solving the five-dimensional Einstein's equations to determine the equation of state is an algorithmic, direct problem. Determining the gravitational theory that gives rise to a prescribed equation of state is a much more challenging, inverse problem. We ...