E₈(8)例外场论的平行引力公式化
Teleparallel formulation of $E_{8(8)}$ Exceptional Field Theory
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中文总结 AI 辅助
本文将适用于高维超引力三维最大超对称紧致化的E₈(8)×ℝ⁺例外场论的势以平行引力公式化推导得出，明确了内挠率在相关紧致化研究中的关键作用。
中文摘要 AI 辅助
本文推导了适用于研究高维超引力三维最大超对称紧致化的E₈(8)×ℝ⁺例外场论的势，采用平行引力公式化。具体而言，从内挠率二次标量收缩的最一般组合的假设出发，该假设明显在广义微分同胚下不变，通过施加对偶群最大紧致子群的无穷小旋转不变性来选取势。平行引力公式化在几何层面明确了内挠率在研究高维超引力紧致化中的关键作用，此处内挠率被等同于所得规范超引力的嵌入张量。
英文摘要
The potential of $E_{8(8)} \times \mathbb{R}^+$ 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.
发表机构
- Centre de Physique Théorique, CNRS, Institut Polytechnique de Paris（理论物理中心，法国国家科学研究中心，巴黎理工学院）
机构由 AI 辅助整理，请以论文原文为准。
