Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disentangling interacting symmetry protected phases of fermions in two
  dimensions   We construct fixed point lattice models for group supercohomology symmetry
protected topological (SPT) phases of fermions in 2+1D. A key feature of our
approach is to construct finite depth circuits of local unitaries that
explicitly build the ground states from a tensor product state. We then recover
the classification of fermionic SPT phases, including the group structure under
stacking, from the algebraic composition rules of these circuits. Furthermore,
we show that the circuits are symmetric, implying that the group
supercohomology phases can be many body localized. Our strategy involves first
building an auxiliary bosonic model, and then fermionizing it using the duality
of Chen, Kapustin, and Radicevic. One benefit of this approach is that it
clearly disentangles the role of the algebraic group supercohomology data,
which is used to build the auxiliary bosonic model, from that of the spin
structure, which is combinatorially encoded in the lattice and enters only in
the fermionization step. In particular this allows us to study our models on 2d
spatial manifolds of any topology and to define a lattice-level procedure for
ungauging fermion parity.

23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph