Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry protected topological phases beyond groups: The q-deformed
  Affleck-Kennedy-Lieb-Tasaki model   We argue that the $q$-deformed spin-1 AKLT Hamiltonian should be regarded as
a representative of a symmetry protected topological phase. Even though it
fails to exhibit any of the standard symmetries known to protect the Haldane
phase it still displays all characteristics of this phase: Fractionalized
spin-$\frac{1}{2}$ boundary spins, non-trivial string order and - when using an
appropriate definition - a two-fold degeneracy in the entanglement spectrum. We
trace these properties back to the existence of an $SO_q(3)$ quantum group
symmetry and speculate about potential links to discrete duality symmetries. We
expect our findings and methods to be relevant for the identification,
characterization and classification of other symmetry-protected topological
phases with non-standard symmetries.

32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int