Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin TQFTs and fermionic phases of matter   We study lattice constructions of gapped fermionic phases of matter. We show
that the construction of fermionic Symmetry Protected Topological orders by Gu
and Wen has a hidden dependence on a discrete spin structure on the Euclidean
space-time. The spin structure is needed to resolve ambiguities which are
otherwise present. An identical ambiguity is shown to arise in the fermionic
analog of the string-net construction of 2D topological orders. We argue that
the need for a spin structure is a general feature of lattice models with local
fermionic degrees of freedom and is a lattice analog of the spin-statistics
relation.

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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an