Towards a microscopic model of AdS fragmentation


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


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


          @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


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.