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Abstract:

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.

Registro:

Documento: Artículo
Título:Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples
Autor:Giribet, G.E.; Santillán, O.P.
Filiación:Physics Department, Universidad de Buenos Aires, Pabellón i, 1428 Buenos Aires, Argentina
Año:2007
Volumen:275
Número:2
Página de inicio:373
Página de fin:400
DOI: http://dx.doi.org/10.1007/s00220-007-0300-9
Título revista:Communications in Mathematical Physics
Título revista abreviado:Commun. Math. Phys.
ISSN:00103616
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00103616_v275_n2_p373_Giribet

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Citas:

---------- APA ----------
Giribet, G.E. & Santillán, O.P. (2007) . Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples. Communications in Mathematical Physics, 275(2), 373-400.
http://dx.doi.org/10.1007/s00220-007-0300-9
---------- CHICAGO ----------
Giribet, G.E., Santillán, O.P. "Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples" . Communications in Mathematical Physics 275, no. 2 (2007) : 373-400.
http://dx.doi.org/10.1007/s00220-007-0300-9
---------- MLA ----------
Giribet, G.E., Santillán, O.P. "Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples" . Communications in Mathematical Physics, vol. 275, no. 2, 2007, pp. 373-400.
http://dx.doi.org/10.1007/s00220-007-0300-9
---------- VANCOUVER ----------
Giribet, G.E., Santillán, O.P. Toric G 2 and Spin(7) holonomy spaces from gravitational instantons and other examples. Commun. Math. Phys. 2007;275(2):373-400.
http://dx.doi.org/10.1007/s00220-007-0300-9