A Note on a Standard Embedding on Half-Flat Manifolds
| dc.creator | Ali, Tibra | |
| dc.creator | Cleaver, Gerald B. | |
| dc.date | 2007-11-21 | |
| dc.date | 2008-07-16 | |
| dc.date.accessioned | 2026-07-07T12:24:03Z | |
| dc.date.available | 2026-07-07T12:24:03Z | |
| dc.description | It is argued that the ten dimensional solution that corresponds to the compactification of $E_8 \times E_8$ heterotic string theory on a half-flat manifold is the product space-time $R^{1,2} \times Z_7$ where $Z_7$ is a generalized cylinder with $G_2$ riemannian holonomy. Standard embedding on $Z_7$ then implies an embedding on the half-flat manifold which involves the torsionful connection rather than the Levi-Civita connection. This leads to the breakdown of $E_8 \times E_8$ to $E_6 \times E_8$, as in the case of the standard embedding on Calabi-Yau manifolds, which agrees with the result derived recently by Gurrieri, Lukas and Micu (arXiv:0709.1932) using a different approach. Green-Schwarz anomaly cancellation is then implemented via the torsionful connection on half-flat manifolds. | |
| dc.description | 5 pages. v2: 6 pages; slightly reworded; version submitted for publication. v3: uses JHEP3.cls, hence 14 pages now. Essentially same content as before. Article in title changed in accordance with JHEP editor's suggestion. Version to appear in JHEP | |
| dc.identifier | https://arxiv.org/abs/0711.3248 | |
| dc.identifier | http://arxiv.org/abs/0711.3248 | |
| dc.identifier | JHEP 0807:121,2008 | |
| dc.identifier | doi:10.1088/1126-6708/2008/07/121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214202 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | A Note on a Standard Embedding on Half-Flat Manifolds | |
| dc.type | text |