论文标题
TST与LCR的LCR和重力双重二元
TsT vs. LCR and Gravity Dual of Non-relativistic Fluid
论文作者
论文摘要
我们讨论了两种不同的方法来合成其相对论对应物的全息非相关性流体。在第一种方法中，我们通过相对论的共形流体的轻度降低来获得非相关的流体。在第二种方法中，我们考虑了相对论流体的散装双重双重，将溶液升至10个维度，并在散装解决方案上执行TST转换以改变渐近结构。在$ s^5 $上减少TST转换的几何形状，我们找到了一个有效的5维本地增强解决方案。然后，我们使用散装词典来计算非相关构成关系。我们表明，通过这两种方法获得的非相关流体在衍生化膨胀中等效到二阶。我们的结果还为全息$ U（1）$带电的非相关流体（均等奇数甚至偶数）的不同本质关系和传输提供了明确的表达。
We discuss two different approaches to synthesise holographic non-relativistic fluid from its relativistic counterpart. In the first approach we obtain the non-relativistic fluid by light-cone reduction of a relativistic conformal fluid. In the second approach we consider the bulk dual of the relativistic fluid, uplift the solution to 10 dimensions and perform TsT transformations on the bulk solution to change the asymptotic structure. Reducing the TsT transformed geometry over $S^5$ we find an effective 5 dimensional locally boosted solution. We then use the bulk-boundary dictionary to compute the non-relativistic constitutive relations. We show that the non-relativistic fluids obtained by these two methods are equivalent up to second order in derivative expansion. Our results also provide explicit expressions for different constitutive relations and transports of holographic $U(1)$ charged non-relativistic fluids (both parity odd and even) up to second order in derivative expansion.
