# $EL_\infty$-algebras, Generalized Geometry, and Tensor Hierarchies

@inproceedings{Borsten2021EL\_inftyalgebrasGG, title={\$EL\_\infty\$-algebras, Generalized Geometry, and Tensor Hierarchies}, author={Leron Borsten and Hyungrok Kim and Christian Saemann}, year={2021} }

We define a generalized form of L8-algebras called EL8-algebras. As we show, these provide the natural algebraic framework for generalized geometry and the symmetries of double field theory as well as the gauge algebras arising in the tensor hierarchies of gauged supergravity. Our perspective shows that the kinematical data of the tensor hierarchy is an adjusted higher gauge theory, which is important for developing finite gauge transformations as well as nonlocal descriptions. Mathematically…

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