Teleparallel Geroch geometry
High Energy Physics - Theory
2024-06-13 v2
Abstract
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.
Cite
@article{arxiv.2402.04055,
title = {Teleparallel Geroch geometry},
author = {Guillaume Bossard and Martin Cederwall and Jakob Palmkvist},
journal= {arXiv preprint arXiv:2402.04055},
year = {2024}
}
Comments
41 pp. v2: minor changes