论文标题
部分可观测时空混沌系统的无模型预测
Quantization and variational problem of the Gubser-Rocha Einstein-Maxwell-Dilaton model, conformal and non-conformal deformations, and its proper thermodynamics
论文作者
论文摘要
我们表明，在Gubser-Rocha抗De-sitter上，强烈的田间理论全息双重双重双重偶，Einstein-Maxwell-Dilaton理论描述的不是单个非平凡的ADS $ _2 $ _2 $ ir固定点，而是一个参数家族。它是局部量子临界阶段而不是量子临界点双重的。该结果来自对引力理论的可能量化的详细分析，该分析与分析Gubser-Rocha黑洞溶液的热力学一致。分析性Gubser-Rocha黑洞只是所有可能解决方案的2参数子集，我们在数值上构造了其他成员。这些新的数值解决方案对应于打开额外的标量电荷。此外，每个解决方案都具有多种全息解释，具体取决于所选的量化。在一个涉及多领变形的特定量化中，标量电荷是边缘运算符。在关闭边缘多质量运算符的其他量化中，分析性的Gubser-Rocha黑洞并未描述有限的温度保形流体。
We show that the strongly coupled field theory holographically dual to the Gubser-Rocha anti-de-Sitter Einstein-Maxwell-Dilaton theory describes not a single non-trivial AdS$_2$ IR fixed point, but a one-parameter family. It is dual to a local quantum critical phase instead of a quantum critical point. This result follows from a detailed analysis of the possible quantizations of the gravitational theory that is consistent with the thermodynamics of the analytical Gubser-Rocha black hole solution. The analytic Gubser-Rocha black hole is only a 2-parameter subset of all possible solutions, and we construct other members numerically. These new numerical solutions correspond to turning on an additional scalar charge. Moreover, each solution has multiple holographic interpretations depending on the quantization chosen. In one particular quantization involving a multitrace deformation the scalar charge is a marginal operator. In other quantizations where the marginal multitrace operator is turned off, the analytic Gubser-Rocha black hole does not describe a finite temperature conformal fluid.
