4.2 Article

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

Journal

LETTERS IN MATHEMATICAL PHYSICS
Volume 108, Issue 12, Pages 2669-2694

Publisher

SPRINGER
DOI: 10.1007/s11005-018-1109-5

Keywords

Supersymmetric field theories; Homotopical algebra; Supergeometry

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We consider various A8- 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 A8- 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.

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