content_image/367453.jpg content_image/367452.jpg content_image/367455.jpg
Equation (3.18) and the Hawking temperature (2.4) show that (3.19) can be rewritten as 

According to the AdS / CFT dictionary, we obtain the relation 

<img src='content_image/367453.jpg'>

<img src='content_image/367452.jpg'>

Thus, from Eqs. (3.17) and (3.21) we find that the expectationvalue 〈O + 〉 is 

where Υ is a constant which is given by 

<img src='content_image/367455.jpg'>

## IV. ELECTRICAL CONDUCTIVITY IN HO ˇ RAVA-LIFSHITZ BLACK-HOLE BACKGROUND 

In the study of (2 + 1) and (3 + 1)-dimensional superconductors, Horowitz et al. [8] got a univer- sal relation connecting the gap frequency in conductivity with the critical temperature T$_{c}$ , which is 

