Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard
  Model   Stable, holomorphic vector bundles are constructed on an torus fibered,
non-simply connected Calabi-Yau threefold using the method of bundle
extensions. Since the manifold is multiply connected, we work with equivariant
bundles on the elliptically fibered covering space. The cohomology groups of
the vector bundle, which yield the low energy spectrum, are computed using the
Leray spectral sequence and fit the requirements of particle phenomenology. The
physical properties of these vacua were discussed previously. In this paper, we
systematically compute all relevant cohomology groups and explicitly prove the
existence of the necessary vector bundle extensions. All mathematical details
are explained in a pedagogical way, providing the technical framework for
constructing heterotic standard model vacua.

13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn