Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic tensor networks from hyperbolic buildings   We introduce a unifying framework for the construction of holographic tensor
networks, based on the theory of hyperbolic buildings. The underlying dualities
relate a bulk space to a boundary which can be homeomorphic to a sphere, but
also to more general spaces like a Menger sponge type fractal. In this general
setting, we give a precise construction of a large family of bulk regions that
satisfy complementary recovery. For these regions, our networks obey a
Ryu--Takayanagi formula. The areas of Ryu--Takayanagi surfaces are controlled
by the Hausdorff dimension of the boundary, and consistently generalize the
behavior of holographic entanglement entropy in integer dimensions to the
non-integer case. Our construction recovers HaPPY--like codes in all
dimensions, and generalizes the geometry of Bruhat--Tits trees. It also
provides examples of infinite-dimensional nets of holographic conditional
expectations, and opens a path towards the study of conformal field theory and
holography on fractal spaces.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph