Hyperbolic Invariance
| dc.creator | Haddou, Malika Ait Ben | |
| dc.creator | Saidi, El Hassan | |
| dc.date | 2004-05-27 | |
| dc.date.accessioned | 2026-07-07T04:16:59Z | |
| dc.date.available | 2026-07-07T04:16:59Z | |
| dc.description | Motivated by the study of duality cascades in supersymmetric quiver gauge theories beyond affine models, we develop in this paper the analysis of a class of simply laced hyperbolic Lie algebras. These are specific generalizations of affine ADE symmetries which form a particular subclass of the so-called Indefinite Lie algebras. Because of indefinite signature of their bilinear form, we show that these infinite dimensional invariances have very special features and admit a remarkable link type IIB background with non zero axion. We also show that hyperbolic root system $Δ_{hyp}$ has a $\mathbb{Z}_{2}\mathbb{\times Z}_{3}$ gradation containing two specific and isomorphic proper subsets of affine Kac-Moody root systems baptized as $Δ_{affine}^δ$ and $Δ_{affine}^γ$. We give an explicit form of the commutation relations for hyperbolic ADE algebras and analyze their Weyl groups W$_{hyp}$. Comments regarding links with Seiberg like dualities and RG cascades are made. | |
| dc.description | 41 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0405251 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0405251 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52583 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Hyperbolic Invariance | |
| dc.type | text |