Compactifications of the heterotic string with unitary bundles
✍ Scribed by T. Weigand
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 961 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0015-8208
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✦ Synopsis
Abstract
We describe a large new class of four‐dimensional supersymmetric string vacua defined as compactifications of the E~8~ × E~8~ and the SO(32) heterotic string on smooth Calabi‐Yau threefolds with unitary gauge bundles and heterotic five‐branes. The conventional gauge symmetry breaking via Wilson lines is replaced by the embedding of non‐flat line bundles into the ten‐dimensional gauge group, thus opening up the way for phenomenologically interesting string compactifications on simply connected manifolds. After a detailed analysis of the four‐dimensional effective theory we exemplify the general framework by means of a couple of explicit examples involving the spectral cover construction of stable holomorphic bundles. As for the SO(32) heterotic string, the resulting vacua can be viewed, in the S‐dual Type I picture, as a generalisation of magnetized D9/D5‐brane models. In the case of the E~8~ × E~8~ string, we find a natural way to construct realistic MSSM‐like models, either directly or via a flipped SU(5) GUT scenario.
📜 SIMILAR VOLUMES
## Abstract The effective action in four dimensions resulting from the ten‐dimensional 𝒩 = 1 heterotic supergravity coupled to 𝒩 = 1 supersymmetric Yang‐Mills upon dimensional reduction over nearly‐Kähler manifolds is discussed. Nearly‐Kähler manifolds are an interesting class of manifolds admittin