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PreprintCC BY 4.0arXiv

Teleparallel formulation of E8(8) Exceptional Field Theory

Abstract

The potential of E8(8) × ℝ+ exceptional field theory, suited for studying three-dimensional maximally supersymmetric compactifications of higher-dimensional supergravities, is derived in teleparallel formulation. This means that, starting from an ansatz of the most general combination of the quadratic scalar contractions of the intrinsic torsion, which is manifestly invariant under generalised diffeomorphisms, one selects the potential by imposing the invariance under infinitesimal rotation of the maximal compact subgroup of the duality group. The teleparallel formulation makes manifest at geometric level the preeminent role of the intrinsic torsion in studying compactifications of higher-dimensional supergravities, where the intrinsic torsion is identified with the embedding tensor of the resulting gauged supergravity.

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BibTeX
@misc{rovere2026teleparallel,
  title = {{Teleparallel formulation of $E_8(8)$ Exceptional Field Theory}},
  author = {Davide Rovere},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29541},
  eprint = {2608.29541},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29541},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Teleparallel formulation of E_8(8) Exceptional Field Theory
AU  - Davide Rovere
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.29541
UR  - https://arxiv.org/abs/2608.29541
AB  - The potential of E_8(8) × ℝ^+ exceptional field theory, suited for studying three-dimensional maximally supersymmetric compactifications of higher-dimensional supergravities, is derived in teleparallel formulation. This means that, starting from an ansatz of the most general combination of the quadratic scalar contractions of the intrinsic torsion, which is manifestly invariant under generalised diffeomorphisms, one selects the potential by imposing the invariance under infinitesimal rotation of the maximal compact subgroup of the duality group. The teleparallel formulation makes manifest at geometric level the preeminent role of the intrinsic torsion in studying compactifications of higher-dimensional supergravities, where the intrinsic torsion is identified with the embedding tensor of the resulting gauged supergravity.
ER  -