Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The landscape of intersecting brane models   We develop tools for analyzing the space of intersecting brane models. We
apply these tools to a particular T^6/Z_2^2 orientifold which has been used for
model building. We prove that there are a finite number of intersecting brane
models on this orientifold which satisfy the Diophantine equations coming from
supersymmetry. We give estimates for numbers of models with specific gauge
groups, which we confirm numerically. We analyze the distributions and
correlations of intersection numbers which characterize the numbers of
generations of chiral fermions, and show that intersection numbers are roughly
independent, with a characteristic distribution which is peaked around 0 and in
which integers with fewer divisors are mildly suppressed. As an application,
the number of models containing a gauge group SU(3) x SU(2) x U(1) or SU(4) x
SU(2) x SU(2) and 3 generations of appropriate types of chiral matter is
estimated to be order O (10), in accord with previous explicit constructions.
As another application of the methods developed in the paper, we construct a
new pair of 3-generation SU(4) x SU(2) x SU(2) Pati-Salam models using
intersecting branes. We conclude with a description of how this analysis can be
generalized to a broader class of Calabi-Yau orientifolds, and a discussion of
how the numbers of IBM's are related to numbers of stabilized vacua.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics