Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classifying local fractal subsystem symmetry protected topological
  phases   We study symmetry-protected topological (SPT) phases of matter in 2D
protected by symmetries acting on fractal subsystems of a certain type. Despite
the total symmetry group of such systems being subextensively large, we show
that only a small number of phases are actually realizable by local
Hamiltonians. Which phases are possible depends crucially on the spatial
structure of the symmetries, and we show that in many cases no non-trivial SPT
phases are possible at all. In cases where non-trivial SPT phases do exist, we
give an exhaustive enumeration of them in terms of their locality.

24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con