Holographic spacetime as an RG flow

Renormalization group (RG) flows describe how to interpolate between theories which are "effective" at particular scales. In the space of theories, RG flows are often said to "start" at some high-energy scale-invariant fixed point (an ultraviolet CFT) and "flow" to some low-energy scale-invariant fixed point (an infrared CFT). They are thus thought of as curves parameterized by some energy cutoff scale.

In the context of AdS/CFT, bulk classical gravitational dynamics with matter present can be viewed as "driving" a "holographic RG flow" with the boundary theory as the UV CFT. Indeed, this is the older way to address the question of how the bulk spacetime "emerges" from the boundary theory. I am interested in applying this view of AdS/CFT to modern approaches involving quantum information.

Within the holographic RG language, there is a natural way to encode the interior of a backreacting AdS black hole; one may analytically continue an RG flow to imaginary energy scales beyond the IR fixed point. The resulting analytic continuation is called a trans-IR flow. Such flows provide a cohesive language with which to conceptualize bulk quantities characterizing the interior physics of black holes. Furthermore, results about the near-singularity geometry of a backreacting black hole may be recontextualized in the language of these RG flows.

Selected publications

E. Caceres, SS, Anisotropic flows into black holes. Journal of High Energy Physics 01 (2023) 007. arXiv:2209.06818, preprint Sep 2022.

E. Caceres, A. Kundu, A. K. Patra, SS, Trans-IR flows to black hole singularities. Physical Review D 106 (2022) 4, 046005. arXiv:2201.06579, preprint Jan 2022.

Under review

E. Caceres, SS, H.-Y. Sun, Imprints of phase transitions on Kasner singularities. arXiv:2305.11177, May 2023.