# Towards a microscopic model of AdS fragmentation

### APA

Anous, T. (2022). Towards a microscopic model of AdS fragmentation . Perimeter Institute. https://pirsa.org/22010085

### MLA

Anous, Tarek. Towards a microscopic model of AdS fragmentation . Perimeter Institute, Jan. 18, 2022, https://pirsa.org/22010085

### BibTex

@misc{ pirsa_22010085, doi = {10.48660/22010085}, url = {https://pirsa.org/22010085}, author = {Anous, Tarek}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Towards a microscopic model of AdS fragmentation }, publisher = {Perimeter Institute}, year = {2022}, month = {jan}, note = {PIRSA:22010085 see, \url{https://pirsa.org}} }

Tarek Anous University of Amsterdam

## Abstract

A salient feature of black holes near extremality is the appearance of an AdS$_2$ throat in their near-horizon geometry. Depending on the underlying theory, these AdS$_2$ throats may be unstable to fragmentation, wherein a single throat is instead replaced by a tree-like structure of branched AdS$_2$ throats. For Einstein-Maxwell theory, the underlying reason behind this instability is the existence of multi-centered configuration in the moduli space of black hole solutions at fixed total charge. Given the success of the Schwarzian/SYK paradigm for understanding a single AdS$_2$ it is time to revisit the fragmentation story. To build up intuition, I will present a model, studied in the statistical mechanics literature, that shares many features with SYK, including exact solvability at large-N and an emergent conformal symmetry that gets weakly broken in the UV. The novel feature of this model is the appearance of a spin glass phase at O(1) temperatures, which I will try to relate to the fragmentation story.