Constructions of L∞ Algebras and Their Field Theory Realizations

We construct L∞ algebras for general “initial data” given by a vector space equipped with an antisymmetric bracket not necessarily satisfying the Jacobi identity. We prove that any such bracket can be extended to a 2-term L∞ algebra on a graded vector space of twice the dimension, with the 3-bracket...

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Bibliographic Details
Main Authors: Olaf Hohm, Vladislav Kupriyanov, Dieter Lüst, Matthias Traube
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/9282905

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