Hyperbolic Space Forms and Orbifold Compactification in M-Theory

Details Hyperbolic Space Forms and Orbifold Compactification in M-Theory Hyperbolic Space Forms and Orbifold Compactification in M-Theory

2005-02-02

arxiv.org/abs/hep-th/0502031v1

PoS WC2004 (2004) 017

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. Work presented at the "Fourth International Winter Conference on Mathematical Methods in Physics", 09-13 August 2004

Scientific paper

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.

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