Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Family Group in Grand Unified Theories   We review the known ways of incorporating and breaking symmetries in a
renormalizable way. We summarize the various grand unified theories based on
$SU_5, SO_{10}$, and $E_6$ as family enlargement groups. An $SU_5$ model with
an $SU_2$ gauged family group is presented as an illustration. In it, the
e-family (i.e., e,u and d) is classically massless and acquires calculable mass
corrections. The family group is broken by the same agent that does the
superstrong breaking. Finally, we sketch a way of unifying the family group
with $SU_5$ into $SU_8$.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math