Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix product states and equivariant topological field theories for
  bosonic symmetry-protected topological phases in (1+1) dimensions   Matrix Product States (MPSs) provide a powerful framework to study and
classify gapped quantum phases --symmetry-protected topological (SPT) phases in
particular--defined in one dimensional lattices. On the other hand, it is
natural to expect that gapped quantum phases in the limit of zero correlation
length are described by topological quantum field theories (TFTs or TQFTs). In
this paper, for (1+1)-dimensional bosonic SPT phases protected by symmetry $G$,
we bridge their descriptions in terms of MPSs, and those in terms of
$G$-equivariant TFTs. In particular, for various topological invariants (SPT
invariants) constructed previously using MPSs, we provide derivations from the
point of view of (1+1) TFTs. We also discuss the connection between boundary
degrees of freedom, which appear when one introduces a physical boundary in SPT
phases, and "open" TFTs, which are TFTs defined on spacetimes with boundaries.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph