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Riemannian Superspaces, Exact Solutions and the Geometrical Meaning of the Field Localization

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Abstract

The geometrical origin of a special type of non-degenerate supermetric is elucidated and the connection with processes of topological origin in high energy physics is explained. The new mechanism of the localization of the fields in a particular sector of the supermanifold is explained and the similarity and differences with a 5-dimensional warped model are shown. The relation with gauge theories of supergravity based in the super SL(2,C) group is explicitly given and the possible original action is presented. From the point of view of the vacuum solutions, the simplest Riemannian superspaces are described.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russian Federation

    Diego Julio Cirilo-Lombardo

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  1. Diego Julio Cirilo-Lombardo
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Correspondence to Diego Julio Cirilo-Lombardo.

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Cirilo-Lombardo, D.J. Riemannian Superspaces, Exact Solutions and the Geometrical Meaning of the Field Localization. Int J Theor Phys 47, 3015–3028 (2008). https://doi.org/10.1007/s10773-008-9736-8

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  • DOI: https://doi.org/10.1007/s10773-008-9736-8

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