Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalies and symmetry fractionalization in reflection-symmetric
  topological order   One of the central ideas regarding anomalies in topological phases of matter
is that they imply the existence of higher-dimensional physics, with an anomaly
in a D-dimensional theory typically being cancelled by a bulk (D+1)-dimensional
symmetry-protected topological phase (SPT). We demonstrate that for some
topological phases with reflection symmetry, anomalies may actually be
cancelled by a D-dimensional SPT, provided that it comes embedded in an
otherwise trivial (D+1)-dimensional bulk. We illustrate this for the example of
$\mathbb{Z}_N$ topological order enriched with reflection symmetry in (2+1)D,
and along the way establish a classification of anomalous reflection symmetry
fractionalization patterns. In particular, we show that anomalies occur if and
only if both electric and magnetic quasiparticle excitations possess nontrivial
fractional reflection quantum numbers.

35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th