Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Family Problem: Hints from Heterotic Line Bundle Models   Within the class of heterotic line bundle models, we argue that N=1 vacua
which lead to a small number of low-energy chiral families are preferred. By
imposing an upper limit on the volume of the internal manifold, as required in
order to obtain finite values of the four-dimensional gauge couplings, and
validity of the supergravity approximation we show that, for a given manifold,
only a finite number of line bundle sums are consistent with supersymmetry. By
explicitly scanning over this finite set of line bundle models on certain
manifolds we show that, for a sufficiently small volume of the internal
manifold, the family number distribution peaks at small values, consistent with
three chiral families. The relation between the maximal number of families and
the gauge coupling is discussed, which hints towards a possible explanation of
the family problem.

5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int