Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Line bundle embeddings for heterotic theories   In heterotic string theories consistency requires the introduction of a
non-trivial vector bundle. This bundle breaks the original ten-dimensional
gauge groups $\text{E}_8\times\text{E}_8$ or $\text{SO}(32)$ for the
supersymmetric heterotic string theories and $\text{SO}(16) \times
\text{SO}(16)$ for the non-supersymmetric tachyon-free theory to smaller
subgroups. A vast number of MSSM-like models have been constructed up to now,
most of which describe the vector bundle as a sum of line bundles. However,
there are several different ways of describing these line bundles and their
embedding in the ten-dimensional gauge group. We recall and extend these
different descriptions and explain how they can be translated into each other.

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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio