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

Martin Rocek; Anton M. Zeitlin

doi:10.1007/s11005-018-1109-5

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

Martin Rocek
, Anton M. Zeitlin

Institute for Theoretical Physics

Stony Brook University

Louisiana State University
Russian Academy of Sciences

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	2669-2694
Number of pages	26
Journal	Letters in Mathematical Physics
Volume	108
Issue number	12
DOIs	https://doi.org/10.1007/s11005-018-1109-5
State	Published - Dec 1 2018

Keywords

Homotopical algebra
Supergeometry
Supersymmetric field theories

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10.1007/s11005-018-1109-5

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abstract = "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.",

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N2 - 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.

AB - 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.

KW - Homotopical algebra

KW - Supergeometry

KW - Supersymmetric field theories

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

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Keywords

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