Asymptotic Lifshitz-Like Solution in Lovelock Gravity (n=3)

With R^2 and R^3 corrections to asymptotical Lifshitz space-time, we obtain pure Lovelock gravity solution and solution with non-trivial matter in 7-dimensional space-time. Then we obtain the general solution for any arbitrary dimensional space. In this paper, we also study black brane solutions in 7-dimensionai Lifshitz space-time via the method of perturbation. And we popularize the black brane solution to arbitrary higher dimensions and discuss the ratio of shear viscosity to entropy density ratio η/s. Then we analyze the result of η/s to find that the correction of n-th （n ≥ 3） order Lovelock term has trivial influence to η/s.

New holographic Weyl superconductors in Lifshitz gravity

We build holographic p-wave conductor(insulator)/superconductor models via the numerical method with a new form of Weyl coupling in five-dimensional Lifshitz gravity,and then investigate how the Weyl coupling parameterγand the Lifshitz scaling parameter z affect the superconductor models.In the conductor/superconductor model,an increase in the Weyl correction(Lifshitz scaling)enhances(inhibits)the superconductor phase transition.Meanwhile,both the Weyl correction(when the Lifshitz parameter is large enough and fixed)and the Lifshitz scaling suppress the growth of the real part of the conductivity.The Weyl correction used here(CB^(2))shows weaker effects on the critical value than the previous Weyl correction(CF^(2)).In the insulator/superconductor model,larger vaules of the Weyl parameter hinder the formation of condensate.However,in increase in the Lifshitz scaling enhances the appearance of condensate.In addition,the calculation suggests that a competitive relation may exist between the Weyl correction and the Lifshitz scaling.

Informational properties of holographic Lifshitz field theory

In this paper,we explore the properties of holographic entanglement entropy(HEE),mutual information(MI)and entanglement of purification(EoP)in holographic Lifshitz theory.These informational quantities exhibit some universal properties of holographic dual field theory.For most configuration parameters and temperatures,these informational quantities change monotonically with the Lifshitz dynamical critical exponent z.However,we also observe some non-monotonic behaviors for these informational quantities in some specific spaces of configuration parameters and temperatures.A particularly interesting phenomenon is that a dome-shaped diagram emerges in the behavior of MI vs z,and correspondingly a trapezoid-shaped profile appears in that of EoP vs z.This means that for some specific configuration parameters and temperatures,the system measured in terms of MI and EoP is entangled only in a certain intermediate range of z.