Hyperbolic spaces in string and M-theory
We describe string-theory and d = 11 supergravity solutions involving symmetric spaces of constant negative curvature. Many examples of non-supersymmetric string compactifications on hyperbolic spaces Hr of finite volume are given in terms of suitable cosets of the form Hr/Γ, where Γ is a discrete g...
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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10298479_v4_n7PARTB_p1_Kehagias |
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| Sumario: | We describe string-theory and d = 11 supergravity solutions involving symmetric spaces of constant negative curvature. Many examples of non-supersymmetric string compactifications on hyperbolic spaces Hr of finite volume are given in terms of suitable cosets of the form Hr/Γ, where Γ is a discrete group. We describe in some detail the cases of the non-compact hyperbolic spaces F2 and F3, representing the fundamental regions of H2 and H3 under SL(2, ℤ) and the Picard group, respectively. By writing AdS as a U(1) fibration, we obtain new solutions where AdS2p+1 gets untwisted by T-duality to ℝ × SU(p, 1)/(SU(p) × U(1)). Solutions with time-dependent dilaton field are also constructed by starting with a solution with NS5-brane flux over H3. A new class of non-supersymmetric conformal field theories can be defined via holography. |
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