Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 't Hooft anomalies of discrete gauge theories and non-abelian group
  cohomology   We study discrete symmetries of Dijkgraaf-Witten theories and their gauging
in the framework of (extended) functorial quantum field theory. Non-abelian
group cohomology is used to describe discrete symmetries and we derive concrete
conditions for such a symmetry to admit 't Hooft anomalies in terms of the
Lyndon-Hochschild-Serre spectral sequence. We give an explicit realization of a
discrete gauge theory with 't Hooft anomaly as a state on the boundary of a
higher-dimensional Dijkgraaf-Witten theory. This allows us to calculate the
2-cocycle twisting the projective representation of physical symmetries via
transgression. We present a general discussion of the bulk-boundary
correspondence at the level of partition functions and state spaces, which we
make explicit for discrete gauge theories.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con