2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96107We analyze solutions of string theory and supergravity which involve real hyperbolic spaces. Examples of string compactifications are given in terms of hyperbolic coset spaces of finite volume $Γ\backslash {\mathbb H}^N$, where $Γ$ is a discrete group of isometries of ${\mathbb H}^N$. We describe finite flux and the tensor kernel associated with hyperbolic spaces. The case of arithmetic geometry of $Γ= SL(2, {\mathbb Z}+i{\mathbb Z})/\{\pm Id\}$, where $Id$ is the identity matrix, is analyzed. We discuss supersymmetry surviving for supergravity solutions involving real hyperbolic space factors, string-supergravity correspondence and holography principle for a class of conformal field theories.11 pages. Work presented at the "Fourth International Winter Conference on Mathematical Methods in Physics", 09-13 August 2004, Rio de Janeiro, BrazilHigh Energy Physics - Theorytext