Teleparallel Geroch geometry

Guillaume Bossard

doi:10.1007/JHEP08(2024)076

Teleparallel Geroch geometry

2024-08-08

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DOI：10.1007/JHEP08(2024)076

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Abstract

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We construct the teleparallel dynamics for extended geometry where the structure algebra is (an extension of) an untwisted affine Kac-Moody algebra. This provides a geometrisation of the Geroch symmetry appearing on dimensional reduction of a gravitational theory to two dimensions. The formalism is adapted to the underlying tensor hierarchy algebra, and will serve as a stepping stone towards the geometrisation of other infinite-dimensional, e.g. hyperbolic, symmetries.

Keywords:

Classical Theories of Gravity

M-Theory

Space-Time Symmetries

String Duality

Teleparallel Geroch geometry

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