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Article
Report number hep-th/0502031
Title Hyperbolic Space Forms and Orbifold Compactification in M-Theory
Author(s) Bytsenko, A A ; Guimarães, M E X ; Helayel-Neto, J A
Affiliation (CBPF/MCT, Rio de Janeiro) ; (DF/UEL) ; (MAT/UnB)
Imprint 2 Feb 2005. - 11 p.
In: PoS WC2004 (2005) pp.017
In: 4th International Winter Conference on Mathematical Methods in Physics, Rio de Janeiro, Brazil, 9 - 13 Aug 2004, pp.017
Subject category Particle Physics - Theory
Abstract We 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 $\Gamma\backslash {\mathbb H}^N$, where $\Gamma$ 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 $\Gamma = SL(2, {\mathbb Z}+i{\mathbb Z})/{\pm Id}$, 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.
Copyright/License CC-BY-NC-SA-3.0

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 Record created 2005-02-04, last modified 2017-09-21


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