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arXiv · 1702.03565

Homotopy Algebras of Differential (Super)forms in Three and Four Dimensions

Martin Rocek·Anton M. Zeitlin
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Abstract

We consider various $A_{\infty}$-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 $A_{\infty}$-structures. In $N=2$ 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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Martin Rocek, Anton M. Zeitlin. 2019-12-18. Homotopy Algebras of Differential (Super)forms in Three and Four Dimensions. https://doi.org/10.1007/s11005-018-1109-5

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