Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples

Non-compact G 2 holonomy metrics that arise from a T 2 bundle over a hyper-Kähler space are constructed. These are one parameter deformations of certain metrics studied by Gibbons, Lü, Pope and Stelle in [1]. Seven-dimensional spaces with G 2 holonomy fibered over the Taub-Nut and the Eguchi-Hanson...

Descripción completa

Detalles Bibliográficos
Autores principales: Giribet, Gastón Enrique, Santillán, Osvaldo Pablo
Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00103616_v275_n2_p373_Giribet
http://hdl.handle.net/20.500.12110/paper_00103616_v275_n2_p373_Giribet
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00103616_v275_n2_p373_Giribet
record_format dspace
spelling paper:paper_00103616_v275_n2_p373_Giribet2023-06-08T14:34:18Z Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples Giribet, Gastón Enrique Santillán, Osvaldo Pablo Non-compact G 2 holonomy metrics that arise from a T 2 bundle over a hyper-Kähler space are constructed. These are one parameter deformations of certain metrics studied by Gibbons, Lü, Pope and Stelle in [1]. Seven-dimensional spaces with G 2 holonomy fibered over the Taub-Nut and the Eguchi-Hanson gravitational instantons are found, together with other examples. By using the Apostolov-Salamon theorem [2], we construct a new example that, still being a T 2 bundle over hyper-Kähler, represents a non-trivial two parameter deformation of the metrics studied in [1]. We then review the Spin(7) metrics arising from a T 3 bundle over a hyper-Kähler and we find a two parameter deformation of such spaces as well. We show that if the hyper-Kähler base satisfies certain properties, a non-trivial three parameter deformation is also possible. The relation between these spaces with half-flat and almost G 2 holonomy structures is briefly discussed. © 2007 Springer-Verlag. Fil:Giribet, G.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Santillán, O.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00103616_v275_n2_p373_Giribet http://hdl.handle.net/20.500.12110/paper_00103616_v275_n2_p373_Giribet
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Non-compact G 2 holonomy metrics that arise from a T 2 bundle over a hyper-Kähler space are constructed. These are one parameter deformations of certain metrics studied by Gibbons, Lü, Pope and Stelle in [1]. Seven-dimensional spaces with G 2 holonomy fibered over the Taub-Nut and the Eguchi-Hanson gravitational instantons are found, together with other examples. By using the Apostolov-Salamon theorem [2], we construct a new example that, still being a T 2 bundle over hyper-Kähler, represents a non-trivial two parameter deformation of the metrics studied in [1]. We then review the Spin(7) metrics arising from a T 3 bundle over a hyper-Kähler and we find a two parameter deformation of such spaces as well. We show that if the hyper-Kähler base satisfies certain properties, a non-trivial three parameter deformation is also possible. The relation between these spaces with half-flat and almost G 2 holonomy structures is briefly discussed. © 2007 Springer-Verlag.
author Giribet, Gastón Enrique
Santillán, Osvaldo Pablo
spellingShingle Giribet, Gastón Enrique
Santillán, Osvaldo Pablo
Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples
author_facet Giribet, Gastón Enrique
Santillán, Osvaldo Pablo
author_sort Giribet, Gastón Enrique
title Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples
title_short Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples
title_full Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples
title_fullStr Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples
title_full_unstemmed Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples
title_sort toric g 2 and spin(7) holonomy spaces from gravitational instantons and other examples
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00103616_v275_n2_p373_Giribet
http://hdl.handle.net/20.500.12110/paper_00103616_v275_n2_p373_Giribet
work_keys_str_mv AT giribetgastonenrique toricg2andspin7holonomyspacesfromgravitationalinstantonsandotherexamples
AT santillanosvaldopablo toricg2andspin7holonomyspacesfromgravitationalinstantonsandotherexamples
_version_ 1768542015995248640

Ejemplares similares