Split Courant algebroids as $L_{\infty}$-structures

Paulo Antunes; Joana M. Nunes da Costa

doi:10.1016/j.geomphys.2020.103790

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arXiv · 1912.09791

Split Courant algebroids as $L_{\infty}$-structures

Paulo Antunes·Joana M. Nunes da Costa

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Abstract

We show that split Courant algebroids, i.e., those defined on a Whitney sum $A \oplus A^*$, are in a one-to-one correspondence with multiplicative curved $L_\infty$-algebras. This one-to-one correspondence extends to Nijenhuis morphisms and behaves well under the operation of twisting by a bivector.

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BibTeX RIS

Paulo Antunes, Joana M. Nunes da Costa. 2019-12-20. Split Courant algebroids as $L_{\infty}$-structures. https://doi.org/10.1016/j.geomphys.2020.103790

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