$L_\infty$algebras and membrane sigma models
Abstract
Membrane sigmamodels 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 sigmamodel. We argue that this result can be utilized in understanding the constraint structure of Double Field Theory and the corresponding membrane sigmamodel.
 Publication:

arXiv eprints
 Pub Date:
 April 2020
 arXiv:
 arXiv:2004.14087
 Bibcode:
 2020arXiv200414087G
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 13 pages