Affine Kac-Moody algebras, CHL strings and the classification of tops
| dc.creator | Bouchard, Vincent | |
| dc.creator | Skarke, Harald | |
| dc.date | 2003-03-25 | |
| dc.date | 2003-12-24 | |
| dc.date.accessioned | 2026-07-07T04:15:03Z | |
| dc.date.available | 2026-07-07T04:15:03Z | |
| dc.description | Candelas and Font introduced the notion of a `top' as half of a three dimensional reflexive polytope and noticed that Dynkin diagrams of enhanced gauge groups in string theory can be read off from them. We classify all tops satisfying a generalized definition as a lattice polytope with one facet containing the origin and the other facets at distance one from the origin. These objects torically encode the local geometry of a degeneration of an elliptic fibration. We give a prescription for assigning an affine, possibly twisted Kac-Moody algebra to any such top (and more generally to any elliptic fibration structure) in a precise way that involves the lengths of simple roots and the coefficients of null roots. Tops related to twisted Kac-Moody algebras can be used to construct string compactifications with reduced rank of the gauge group. | |
| dc.description | 28 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0303218 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0303218 | |
| dc.identifier | Adv.Theor.Math.Phys. 7 (2003) 205-232 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51861 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Affine Kac-Moody algebras, CHL strings and the classification of tops | |
| dc.type | text |