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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10298479_v4_n7PARTB_p1_Kehagias |
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todo:paper_10298479_v4_n7PARTB_p1_Kehagias2023-10-03T15:57:19Z Hyperbolic spaces in string and M-theory Kehagias, A. Russo, J.G. AdS-CFT Correspondance M-theory Superstring Vacua 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10298479_v4_n7PARTB_p1_Kehagias |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
AdS-CFT Correspondance M-theory Superstring Vacua |
| spellingShingle |
AdS-CFT Correspondance M-theory Superstring Vacua Kehagias, A. Russo, J.G. Hyperbolic spaces in string and M-theory |
| topic_facet |
AdS-CFT Correspondance M-theory Superstring Vacua |
| description |
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. |
| format |
JOUR |
| author |
Kehagias, A. Russo, J.G. |
| author_facet |
Kehagias, A. Russo, J.G. |
| author_sort |
Kehagias, A. |
| title |
Hyperbolic spaces in string and M-theory |
| title_short |
Hyperbolic spaces in string and M-theory |
| title_full |
Hyperbolic spaces in string and M-theory |
| title_fullStr |
Hyperbolic spaces in string and M-theory |
| title_full_unstemmed |
Hyperbolic spaces in string and M-theory |
| title_sort |
hyperbolic spaces in string and m-theory |
| url |
http://hdl.handle.net/20.500.12110/paper_10298479_v4_n7PARTB_p1_Kehagias |
| work_keys_str_mv |
AT kehagiasa hyperbolicspacesinstringandmtheory AT russojg hyperbolicspacesinstringandmtheory |
| _version_ |
1782027535102509056 |