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Teleparallel Geroch geometry

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arxiv 2402.04055 v2 pith:TSVTBX4F submitted 2024-02-06 hep-th

Guillaume Bossard , Martin Cederwall , Jakob Palmkvist This is my paper
classification hep-th
keywords algebrageometrisationgeometrygerochteleparalleladaptedaffineappearing
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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.

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  1. From Tensor Algebras to Hyperbolic Kac-Moody Algebras

    hep-th 2025-08 conditional novelty 6.0 of 10

    Simultaneous mutually commuting coset Virasoro actions are realized on the tensor algebra of the Feingold-Frenkel algebra, giving explicit decompositions and tensor ground states up to level five.

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