Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Patterns of remnant discrete symmetries   We analyze patterns of remnant discrete symmetries that arise from U(1)^N
theories by spontaneous breaking. We describe a simple, geometrical way to
understand these patterns and provide methods for identifying the discrete
symmetries and bringing them to the simplest possible form. Applications in GUT
and string model building are briefly discussed.

13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat