There is a proposal for a toy version of the AdS-CFT correspondence in terms of p-adic string theory. The bulk spacetime is identified with the Bruhat-Tits tree? for the projective general linear group $PGL(2,\mathbb{Q}_p)$
Steven Gubser, Johannes Knaute, Sarthak Parikh, Andreas Samberg, Przemek Witaszczyk, $p$-adic AdS/CFT (arXiv:1605.01061)
Matthew Heydeman, Matilde Marcolli, Ingmar Saberi, Bogdan Stoica, Tensor networks, $p$-adic fields, and algebraic curves: arithmetic and the AdS$_3$/CFT$_2$ correspondence (arXiv:1605.07639)
Steven Gubser, Sarthak Parikh, Geodesic bulk diagrams on the Bruhat-Tits tree (arXiv:1704.01149)
Created on June 19, 2017 at 11:13:08. See the history of this page for a list of all contributions to it.