PoS - Proceedings of Science
Volume 376 - Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019) - Humboldt Kolleg Frontiers in Physics: From the Electroweak to the Planck Scales
$L_\infty$-algebras and membrane sigma models
L. Jonke* and C.J. Grewcoe
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Published on: August 18, 2020
Membrane sigma-models have been used for the systematic description of closed strings in nongeometric flux backgrounds. In particular, the conditions for gauge invariance of the corresponding action functionals were related to the Bianchi identities for the fluxes. In this contribution we demonstrate how to express these Bianchi identities in terms of homotopy relations of the underlying $L_\infty$-algebra for the case of the Courant sigma-model. We argue that this result can be utilized in understanding the constraint structure of Double Field Theory and the corresponding membrane sigma-model.
DOI: https://doi.org/10.22323/1.376.0156
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