Sachdev-Ye-Kitaev: um modelo holográfico.

Abstract

In this dissertation, the Sachdev-Ye-Kitaev (SYK) model is approached focusing on its holographic aspect in the nAdS2/nCFT1 correspondence. SYK in particular has some interesting features. It is analytically solvable in strong coupling, is chaotic and has an emergent conformal symmetry. Research is under way for more concrete answers regarding its gravitational dual, the Jackiw-Teitelboim (JT) dílaton gravity. This question has motivated the researchers involved in the search to examine other questions as to how far it is possible to describe the SYK model with a two-dimensional gravitational model. Thus, the purpose of this research is to investigate the correspondence between the SYK and JT model. Among the results, it is seen that this correspondence is translated through a schwarzian action that presents the reparametrization of a circle (presence of finite temperature in the system).