(…)
The Bruhat-Tits tree of the special linear group $SL(2)$:
graphics from Casselman 14
In the 2-adic AdS/CFT correspondence this tree plays the role of anti de Sitter spacetime. This may be regarded (at some finite depth truncation) as a tree-tensor network state
graphics from Sati-Schreiber 19c
(As in HMSS 16, HLM 19. But maybe one wants the Poincaré-dual networks, instead, as in HMPS 18?)
Suggestion that the disk worldsheet of the open p-adic string is to be identified with the Bruhat-Tits tree $T_p$:
Volume 123, Number 3 (1989), 463-483 (euclid.cmp/1104178891)
Suggestion to identify the Bruhat-Tits tree $T_p$ with anti de Sitter spacetime in the p-adic AdS/CFT correspondence:
Discussion of Bruhat-Tits-tree tensor networks in this context of the p-adic AdS/CFT correspondence:
Arpan Bhattacharyya, Ling-Yan Hung, Yang Lei, Wei Li, Tensor network and ($p$-adic) AdS/CFT, JHEP 1801 (2018) 139 (arXiv:1703.05445)
Ling-Yan Hung, Wei Li, Charles M. Melby-Thompson, $p$-adic CFT is a holographic tensor network (arXiv:1902.01411)
Last revised on February 9, 2020 at 10:40:44. See the history of this page for a list of all contributions to it.