On duality of the noncommutative extension of the Maxwell-Chern-Simons model

M. S. Guimarães; D. C. Rodrigues; C. Wotzasek; J. L. Noronha

doi:10.1016/j.physletb.2004.11.064

On duality of the noncommutative extension of the Maxwell-Chern-Simons model

M. S. Guimarães, D. C. Rodrigues, C. Wotzasek, J. L. Noronha

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

Abstract

We study issues of duality in 3D field theory models over a canonical noncommutative spacetime and obtain the noncommutative extension of the self-dual model induced by the Seiberg-Witten map. We apply the dual projection technique to uncover some properties of the noncommutative Maxwell-Chern-Simons theory up to first-order in the noncommutative parameter. A duality between this theory and a model similar to the ordinary self-dual model is established. The correspondence of the basic fields is obtained and the equivalence of algebras and equations of motion are directly verified. We also comment on previous results in this subject.

Original language	English (US)
Pages (from-to)	419-425
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	605
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2004.11.064
State	Published - Jan 13 2005
Externally published	Yes

Keywords

Dual projection
Duality
Maxwell-chern-simons
Noncommutativity
Seiberg-witten map
Self-dual

ASJC Scopus subject areas

Nuclear and High Energy Physics

Online availability

10.1016/j.physletb.2004.11.064

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title = "On duality of the noncommutative extension of the Maxwell-Chern-Simons model",

abstract = "We study issues of duality in 3D field theory models over a canonical noncommutative spacetime and obtain the noncommutative extension of the self-dual model induced by the Seiberg-Witten map. We apply the dual projection technique to uncover some properties of the noncommutative Maxwell-Chern-Simons theory up to first-order in the noncommutative parameter. A duality between this theory and a model similar to the ordinary self-dual model is established. The correspondence of the basic fields is obtained and the equivalence of algebras and equations of motion are directly verified. We also comment on previous results in this subject.",

keywords = "Dual projection, Duality, Maxwell-chern-simons, Noncommutativity, Seiberg-witten map, Self-dual",

author = "Guimar{\~a}es, {M. S.} and Rodrigues, {D. C.} and C. Wotzasek and Noronha, {J. L.}",

note = "Funding Information: This work is partially supported by PROCAD/CAPES and PRONEX/CNPq. M.S.G., J.L.N. and D.C.R. thank CNPq and FAPERJ (Brazilian research agencies) for financial support. J.L.N. also thanks J.W. Goethe University for financial support.",

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AU - Guimarães, M. S.

AU - Rodrigues, D. C.

AU - Wotzasek, C.

AU - Noronha, J. L.

N1 - Funding Information: This work is partially supported by PROCAD/CAPES and PRONEX/CNPq. M.S.G., J.L.N. and D.C.R. thank CNPq and FAPERJ (Brazilian research agencies) for financial support. J.L.N. also thanks J.W. Goethe University for financial support.

PY - 2005/1/13

Y1 - 2005/1/13

N2 - We study issues of duality in 3D field theory models over a canonical noncommutative spacetime and obtain the noncommutative extension of the self-dual model induced by the Seiberg-Witten map. We apply the dual projection technique to uncover some properties of the noncommutative Maxwell-Chern-Simons theory up to first-order in the noncommutative parameter. A duality between this theory and a model similar to the ordinary self-dual model is established. The correspondence of the basic fields is obtained and the equivalence of algebras and equations of motion are directly verified. We also comment on previous results in this subject.

AB - We study issues of duality in 3D field theory models over a canonical noncommutative spacetime and obtain the noncommutative extension of the self-dual model induced by the Seiberg-Witten map. We apply the dual projection technique to uncover some properties of the noncommutative Maxwell-Chern-Simons theory up to first-order in the noncommutative parameter. A duality between this theory and a model similar to the ordinary self-dual model is established. The correspondence of the basic fields is obtained and the equivalence of algebras and equations of motion are directly verified. We also comment on previous results in this subject.

KW - Dual projection

KW - Duality

KW - Maxwell-chern-simons

KW - Noncommutativity

KW - Seiberg-witten map

KW - Self-dual

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On duality of the noncommutative extension of the Maxwell-Chern-Simons model

Abstract

Keywords

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