Toda fields of SO(3) hyper-Kähler metrics and free field realizations

The Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin metrics are the only complete non-singular SO(3)-invariant hyper-Kahler metrics in four dimensions. The presence of a rotational SO(2) isometry allows for their unified treatment based on solutions of the 3-dim continual Toda equation. We determine the...

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Detalles Bibliográficos
Autores principales: Bakas, Ioannis, Sfetsos, Konstadinos
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1142/S0217751X97001456
http://cds.cern.ch/record/300377
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author Bakas, Ioannis
Sfetsos, Konstadinos
author_facet Bakas, Ioannis
Sfetsos, Konstadinos
author_sort Bakas, Ioannis
collection CERN
description The Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin metrics are the only complete non-singular SO(3)-invariant hyper-Kahler metrics in four dimensions. The presence of a rotational SO(2) isometry allows for their unified treatment based on solutions of the 3-dim continual Toda equation. We determine the Toda potential in each case and examine the free field realization of the corresponding solutions, using infinite power series expansions. The Atiyah-Hitchin metric exhibits some unusual features attributed to topological properties of the group of area preserving diffeomorphisms. The existence of a descending series of SO(2)-invariant 4-dim regular hyper-Kahler metrics remains an interesting question.
id cern-300377
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
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spelling cern-3003772023-03-14T18:54:49Zdoi:10.1142/S0217751X97001456http://cds.cern.ch/record/300377engBakas, IoannisSfetsos, KonstadinosToda fields of SO(3) hyper-Kähler metrics and free field realizationsParticle Physics - TheoryThe Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin metrics are the only complete non-singular SO(3)-invariant hyper-Kahler metrics in four dimensions. The presence of a rotational SO(2) isometry allows for their unified treatment based on solutions of the 3-dim continual Toda equation. We determine the Toda potential in each case and examine the free field realization of the corresponding solutions, using infinite power series expansions. The Atiyah-Hitchin metric exhibits some unusual features attributed to topological properties of the group of area preserving diffeomorphisms. The existence of a descending series of SO(2)-invariant 4-dim regular hyper-Kahler metrics remains an interesting question.The Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin metrics are the only complete non-singular SO(3)-invariant hyper-Kahler metrics in four dimensions. The presence of a rotational SO(2) isometry allows for their unified treatment based on solutions of the 3-dim continual Toda equation. We determine the Toda potential in each case and examine the free field realization of the corresponding solutions, using infinite power series expansions. The Atiyah-Hitchin metric exhibits some unusual features attributed to topological properties of the group of area preserving diffeomorphisms. The construction of a descending series of SO(2)-invariant 4-dim regular hyper-Kahler metrics remains an interesting question.hep-th/9604003CERN-TH-96-16ENSLAPP-A-579-96THU-96-05CERN-TH-96-016ENSLAPP-A-579THU-96-05oai:cds.cern.ch:3003771996-04-01
spellingShingle Particle Physics - Theory
Bakas, Ioannis
Sfetsos, Konstadinos
Toda fields of SO(3) hyper-Kähler metrics and free field realizations
title Toda fields of SO(3) hyper-Kähler metrics and free field realizations
title_full Toda fields of SO(3) hyper-Kähler metrics and free field realizations
title_fullStr Toda fields of SO(3) hyper-Kähler metrics and free field realizations
title_full_unstemmed Toda fields of SO(3) hyper-Kähler metrics and free field realizations
title_short Toda fields of SO(3) hyper-Kähler metrics and free field realizations
title_sort toda fields of so(3) hyper-kähler metrics and free field realizations
topic Particle Physics - Theory
url https://dx.doi.org/10.1142/S0217751X97001456
http://cds.cern.ch/record/300377
work_keys_str_mv AT bakasioannis todafieldsofso3hyperkahlermetricsandfreefieldrealizations
AT sfetsoskonstadinos todafieldsofso3hyperkahlermetricsandfreefieldrealizations

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