Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-local holographic dualities in non-perturbative 3d quantum gravity
  I - Convergence of multiple approaches and examples of Ponzano-Regge
  statistical duals   This is the first of a series of papers dedicated to the study of the
partition function of three-dimensional quantum gravity on the twisted solid
torus with the aim to deepen our understanding of holographic dualities from a
non-perturbative quantum gravity perspective. Our aim is to compare the
Ponzano-Regge model for non-perturbative three-dimensional quantum gravity with
the previous perturbative calculations of this partition function. We begin by
reviewing the results obtained in the past ten years via a wealth of different
approaches, and then introduce the Ponzano--Regge model in a self-contained
way. Thanks to the topological nature of three-dimensional quantum gravity we
can solve exactly for the bulk degrees of freedom and identify dual boundary
theories which depend on the choice of boundary states, that can also describe
finite, non-asymptotic boundaries. This series of papers aims precisely at the
investigation of the role played by the different quantum boundary conditions
leading to different boundary theories. Here, we will describe the spin network
boundary states for the Ponzano-Regge model on the twisted torus and derive the
general expression for the corresponding partition functions. We identify a
class of boundary states describing a tessellation with maximally fuzzy squares
for which the partition function can be explicitly evaluated. In the limit case
of a large, but finely discretized, boundary we find a dependence on the Dehn
twist angle characteristic for the BMS3 character. We furthermore show how
certain choices of boundary states lead to known statistical models as dual
field theories-but with a twist.

34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga