Stability analysis of holographic RG flows in 3d supergravity
High Energy Physics - Theory
2023-03-21 v2 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.2208.01179,
title = {Stability analysis of holographic RG flows in 3d supergravity},
author = {Anastasia A. Golubtsova and Marina K. Usova},
journal= {arXiv preprint arXiv:2208.01179},
year = {2023}
}
Comments
26 pp., 7 figures; v2: 28pp, Sections 3,6 improved, refs. added, typos fixed, to appear in EPJ Plus