Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving local anomaly equations in gauge-rank extensions of the Standard
  Model   We consider local (or perturbative) gauge anomalies in models which extend
the rank of the Standard Model (SM) gauge group and the chiral fermion content
only by $n$ SM singlets. We give a general solution to the anomaly cancellation
conditions (ACCs) of an additional $U(1)$ subgroup for the ACCs that involve
only SM fermions and we examine whether a corresponding solution exists for the
remaining ACCs. We show that a solution to the remaining ACCs always exists for
$n \geq 5$ in the family non-universal case or $n \geq 3$ in the
family-universal case. In the special case where only a single family carries
non-vanishing charges, we find a general solution to all ACCs, for any value of
$n$.

13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
1
The categories of this paper are: cs