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arXiv · hep-th/0502031

Hyperbolic Space Forms and Orbifold Compactification in M-Theory

A. A. Bytsenko·M. E. X. Guimaraes·J. A. Helayel-Neto
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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 $Γ\backslash {\mathbb H}^N$, 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.

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A. A. Bytsenko, M. E. X. Guimaraes, J. A. Helayel-Neto. 2005-02-02. Hyperbolic Space Forms and Orbifold Compactification in M-Theory. https://arxiv.org/abs/hep-th/0502031

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