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arXiv · 2504.02029

Tri-vector symmetry of 11 dimensional supergravity

Walter H. Baron·Diego Marques·Carmen A. Nunez·Nahuel Yazbek
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Abstract

Kaluza-Klein reductions of 11-dimensional supergravity lead to exceptional global symmetries in lower dimensions. Certain non-geometric elements of these symmetries, parameterized by a tri-vector $\gamma$, are not inherited from the higher-dimensional local symmetries, but represent instead a symmetry enhancement produced by the isometries of the background. Here, we demonstrate how to realize this enhancement in 11 dimensions, as a symmetry principle with constrained parameters. We show that $\gamma$ transformations exchange the equations of motion of the metric and the three-form with their Bianchi identities, in a closed form, structuring them into tri-vector multiplets. Implementing this principle as an off-shell symmetry of the theory requires the introduction of a hierarchy of dual fields, including a six-form and a dual graviton in the initial levels.

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Walter H. Baron, Diego Marques, Carmen A. Nunez, Nahuel Yazbek. 2025-04-02. Tri-vector symmetry of 11 dimensional supergravity. https://arxiv.org/abs/2504.02029

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