Hidden Symmetries of M-Theory and Its Dynamical Realization

We discuss hidden symmetries of M-theory, its feedback on the construction of the M-theory effective action, and a response of the effective action when locality is preserved. In particular, the locality of special symmetries of the duality-symmetric linearized gravity constraints the index structur...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2008
Main Author: Nurmagambetov, A.J.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/148989
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Hidden Symmetries of M-Theory and Its Dynamical Realization / A.J. Nurmagambetov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 47 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-148989
record_format dspace
spelling Nurmagambetov, A.J.
2019-02-19T12:45:46Z
2019-02-19T12:45:46Z
2008
Hidden Symmetries of M-Theory and Its Dynamical Realization / A.J. Nurmagambetov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 47 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 83E15; 83E50; 53Z05
https://nasplib.isofts.kiev.ua/handle/123456789/148989
We discuss hidden symmetries of M-theory, its feedback on the construction of the M-theory effective action, and a response of the effective action when locality is preserved. In particular, the locality of special symmetries of the duality-symmetric linearized gravity constraints the index structure of the dual to graviton field in the same manner as it is required to separate the levels 0 and 1 generators subalgebra from the infinite-dimensional hidden symmetry algebra of gravitational theory. This conclusion fails once matter fields are taken into account and we give arguments for that. We end up outlining current problems and development perspectives.
This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). Discussions with Igor Bandos, Martin Cederwall, Vladimir Lyakhovsky, Dmitri Sorokin, Kellog Stelle, Mikhail Vasiliev, Dmitri Vassilevich, Yuri Zinoviev are kindly acknowledged. Work supported in part by the INTAS grant #05-1000008-7928.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Hidden Symmetries of M-Theory and Its Dynamical Realization
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Hidden Symmetries of M-Theory and Its Dynamical Realization
spellingShingle Hidden Symmetries of M-Theory and Its Dynamical Realization
Nurmagambetov, A.J.
title_short Hidden Symmetries of M-Theory and Its Dynamical Realization
title_full Hidden Symmetries of M-Theory and Its Dynamical Realization
title_fullStr Hidden Symmetries of M-Theory and Its Dynamical Realization
title_full_unstemmed Hidden Symmetries of M-Theory and Its Dynamical Realization
title_sort hidden symmetries of m-theory and its dynamical realization
author Nurmagambetov, A.J.
author_facet Nurmagambetov, A.J.
publishDate 2008
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description We discuss hidden symmetries of M-theory, its feedback on the construction of the M-theory effective action, and a response of the effective action when locality is preserved. In particular, the locality of special symmetries of the duality-symmetric linearized gravity constraints the index structure of the dual to graviton field in the same manner as it is required to separate the levels 0 and 1 generators subalgebra from the infinite-dimensional hidden symmetry algebra of gravitational theory. This conclusion fails once matter fields are taken into account and we give arguments for that. We end up outlining current problems and development perspectives.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/148989
citation_txt Hidden Symmetries of M-Theory and Its Dynamical Realization / A.J. Nurmagambetov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 47 назв. — англ.
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