2015/04/30 by C. S. Shahbazi, Marco Zambon
Mathematics · Physics and Astronomy · #math.DG #hep-th #math.QA #math.SG
published as Journal of Lie Theory 26 (2016), No. 4, 1037--1067 · 27 pages. Version to be published in Journal of Lie Theory
arxiv created 2016/03/16 · arxiv updated 2016/11/30
Multisymplectic geometry admits an operation that has no counterpart in symplectic geometry, namely, taking the product of two multisymplectic manifolds endowed with the wedge product of the multisymplectic forms. We show that there is an L-infinity-embedding of the L-infinity-algebra of observables of the individual factors into the observables of the product, and that homotopy moment maps for the individual factors induce a homotopy moment map for the product. As a by-product, we associate to every multisymplectic form a curved L-infinity-algebra, whose curvature is the multisymplectic form itself.