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arXiv · 2008.05184

On the prequantisation map for 2-plectic manifolds

Gabriel Sevestre·Tilmann Wurzbacher
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Abstract

For a manifold $M$ with an integral closed 3-form $\omega$, we construct a $PU(H)$-bundle and a Lie groupoid over its total space, together with a curving in the sense of gerbes. If the form is non-degenerate, we furthermore give a natural Lie 2-algebra quasi-isomorphism from the observables of $(M,\omega)$ to the weak symmetries of the above geometric structure, generalising the prequantisation map of Kostant and Souriau.

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BibTeXRIS

Gabriel Sevestre, Tilmann Wurzbacher. 2020-08-12. On the prequantisation map for 2-plectic manifolds. https://doi.org/10.1007/s11040-021-09391-5

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