Stability analysis of holographic RG flows in 3d supergravity

被引：3
|
作者：
Golubtsova, Anastasia A. [1 ,2 ]
Usova, Marina K. [1 ,2 ]
机构：
[1] JINR, Bogoliubov Lab Theoret Phys, Joliot Curie Str 6, Dubna 141980, Russia
[2] Russian Acad Sci, Steklov Math Inst, Gubkina Str 8, Moscow 119991, Russia
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2023年 / 138卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
ADS/CFT CORRESPONDENCE;
D O I：
10.1140/epjp/s13360-023-03808-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study holographic RG flows in a 3d supergravity model from the side of the dynamical system theory. The gravity equations of motion are reduced to an autonomous dynamical system. Then we find equilibrium points of the system and analyze them for stability. We also restore asymptotic solutions near the critical points. We find two types of solutions: with asymptotically AdS metrics and hyperscaling violating metrics. We write down possible RG flows between an unstable (saddle) UV fixed point and a stable (stable node) IR fixed point. We also analyze bifurcations in the model.
引用
收藏
页数：18
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