Homotopy algebras of differential (super)forms in three and four dimensions

We consider various A ∞ -algebras of differential (super)forms, which are related to gauge theories and demonstrate explicitly how certain reformulations of gauge theories lead to the transfer of the corresponding A ∞ -structures. In addition, for N = 2 3D space, we construct the homotopic counterpa...

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Bibliographic Details
Published in:Letters in mathematical physics 2018-12, Vol.108 (12), p.2669-2694
Main Authors: Rocek, Martin, Zeitlin, Anton M.
Format: Article
Language:English
Subjects:
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Summary:We consider various A ∞ -algebras of differential (super)forms, which are related to gauge theories and demonstrate explicitly how certain reformulations of gauge theories lead to the transfer of the corresponding A ∞ -structures. In addition, for N = 2 3D space, we construct the homotopic counterpart of the de Rham complex, which is related to the superfield formulation of the N = 2 Chern–Simons theory.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-018-1109-5