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Hyperbolic Space Forms and Orbifold Compactification in M-Theory | | A. A. Bytsenko
; M. E. X. Guimaraes
; J. A. Helayel-Neto
; | | Date: |
2 Feb 2005 | | Journal: | Proc.Sci. WC2004 (2004) 017 | | Subject: | hep-th | | Affiliation: | DF/UEL), M. E. X. Guimaraes (MAT/UnB) and J. A. Helayel-Neto (CBPF/MCT, Rio de Janeiro | | 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 $Gammaackslash {mathbb H}^N$, 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. | | Source: | arXiv, hep-th/0502031 | | Services: | Forum | Review | PDF | Favorites | |
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