Constraint equations and field equations in supersymmetric N = 3 Yang-Mills theory

J. Harnad; J. Hurtubise; M. Légaré; S. Shnider

doi:10.1016/0550-3213(85)90410-9

Constraint equations and field equations in supersymmetric N = 3 Yang-Mills theory

J. Harnad, J. Hurtubise, M. Légaré, S. Shnider

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

48 Scopus citations

Abstract

We give a complete proof of the equivalence between the constraint equations for N = 3 Yang-Mills superfield connections and the supersymmetric field equations. The key element in establishing one-to-one correspondences between the superconnection constraint equations, the superfield equations and the component field equations is the introduction of a suitable choice of "transversal" gauge which eliminates all gauge transformations depending on fermionic coordinates.

Original language	English
Pages (from-to)	609-620
Number of pages	12
Journal	Nuclear Physics B
Volume	256
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(85)90410-9
State	Published - 1985
Externally published	Yes

Bibliographical note

Funding Information:
* Research supported in part by "Fonds FCAC pour l'aide et le soutien a la recherche du (iouverne-ment du Quebec" and the Natural Sciences and Engineering Research Council of Canada. This work was completed while the first author was at the Centre de Recherche de Math~matiques Appliquees. Llniversite de Montreal.

Funding

* Research supported in part by "Fonds FCAC pour l'aide et le soutien a la recherche du (iouverne-ment du Quebec" and the Natural Sciences and Engineering Research Council of Canada. This work was completed while the first author was at the Centre de Recherche de Math~matiques Appliquees. Llniversite de Montreal.

Funders	Funder number
Fonds FCAC pour l'aide et le soutien a la recherche du (iouverne-ment du Quebec
Natural Sciences and Engineering Research Council of Canada

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10.1016/0550-3213(85)90410-9

Cite this

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AU - Hurtubise, J.

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AB - We give a complete proof of the equivalence between the constraint equations for N = 3 Yang-Mills superfield connections and the supersymmetric field equations. The key element in establishing one-to-one correspondences between the superconnection constraint equations, the superfield equations and the component field equations is the introduction of a suitable choice of "transversal" gauge which eliminates all gauge transformations depending on fermionic coordinates.

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Constraint equations and field equations in supersymmetric N = 3 Yang-Mills theory

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