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Another geometrical representation of supergravity

Геометрическое представление супергравитации

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Il Nuovo Cimento A (1965-1970)

Summary

An alternative approach to a geometrical description of the contents of supergravity is presented. This description is developed in close analogy to the fibre bundle description of gauge fields. A curious feature is that the torsion tensor is not needed and is assumed to be zero throughout.

Riassunto

Si presenta un approaccio alternativo alla descrizione geometrica dei contenuti della supergravità. Si sviluppa questa descrizione in stretta analogia alla descrizione dei campi di gauge mediante fasci di fibre. Una caratteristica singolare consiste nel fatto che il tensore di torsione non è necessario e si ipotizza che sia nullo dappertutto.

Резюме

Предлагается альтернативный подход к геометрическому описанию супергравитации. Этот подход развивается по аналогии с описанием семейства нитей для калибровочных полей. Любопытная особенность этого подхода состоит в том, что тензор кручения не является необходимым и предлолагается, что он равен нулю повсюду.

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Work supported by the Einstein Memorial Foundation.

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Pilati, M. Another geometrical representation of supergravity. Nuov Cim A 57, 361–376 (1980). https://doi.org/10.1007/BF02776544

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