Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Higher Anomalies, SU(N) Yang-Mills Gauge Theory and
  $\mathbb{CP}^{\mathrm{N}-1}$ Sigma Model   We hypothesize a new and more complete set of anomalies of certain quantum
field theories (QFTs) and then give an eclectic verification. First, we propose
a set of 't Hooft higher anomalies of 4d time-reversal symmetric pure
SU(N)-Yang-Mills (YM) gauge theory with a second-Chern-class topological term
at $\theta=\pi$, via 5d cobordism invariants (higher symmetry-protected
topological states), with N = $2, 3, 4$ and others. Second, we propose a set of
't Hooft anomalies of 2d $\mathbb{CP}^{\mathrm{N}-1}$-sigma models with a
first-Chern-class topological term at $\theta=\pi$, by enlisting all possible
3d cobordism invariants and selecting the matched terms. Based on
algebraic/geometric topology, QFT analysis, manifold generator correspondence,
condensed matter inputs such as stacking PSU(N)-generalized Haldane quantum
spin chains, and additional physics criteria, we derive a correspondence
between 5d and 3d new invariants. Thus we broadly prove a potentially complete
anomaly-matching between 4d SU(N) YM and 2d $\mathbb{CP}^{\mathrm{N}-1}$ models
at N = 2, and suggest new (but maybe incomplete) anomalies at N = 4. We
formulate a higher-symmetry analog of "Lieb-Schultz-Mattis theorem" to
constrain the low-energy dynamics.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat