Infinitesimal symmetries of bundle gerbes and Courant algebroids

Dinamo Djounvouna; Derek Krepski

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arXiv · 2304.05347

Infinitesimal symmetries of bundle gerbes and Courant algebroids

Dinamo Djounvouna·Derek Krepski

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Abstract

Let $M$ be a smooth manifold and let $\chi\in \Omega^3(M)$ be closed differential form with integral periods. We show the Lie 2-algebra of sections of the $\chi$-twisted Courant algebroid on $M$ is quasi-isomorphic to the Lie 2-algebra of connection-preserving multiplicative vector fields on an $S^1$-bundle gerbe with connection (over $M$) whose 3-curvature is $\chi$.

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Dinamo Djounvouna, Derek Krepski. 2023-04-11. Infinitesimal symmetries of bundle gerbes and Courant algebroids. https://arxiv.org/abs/2304.05347

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