Line bundle embeddings for heterotic theories

Stefan Groot Nibbelink; Fabian Ruehle

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arXiv · 1601.00676

Line bundle embeddings for heterotic theories

Stefan Groot Nibbelink·Fabian Ruehle

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Abstract

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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Stefan Groot Nibbelink, Fabian Ruehle. 2016-03-30. Line bundle embeddings for heterotic theories. https://arxiv.org/abs/1601.00676

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