Higher derivative extensions of \(3d\) Chern-Simons models: conservation laws and stability

We consider the class of higher derivative \(3d\) vector field models with the field equation operator being a polynomial of the Chern-Simons operator. For \(n\)-th order theory of this type, we provide a general receipt for constructing \(n\)-parameter family of conserved second rank tensors. The f...

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Bibliographic Details
Published inarXiv.org
Main Authors Kaparulin, D S, I Yu Karataeva, Lyakhovich, S L
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.11.2015
Subjects
Conservation laws
Fields (mathematics)
Mathematical models
Parameters
Polynomials
Stability
Tensors
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Summary:We consider the class of higher derivative \(3d\) vector field models with the field equation operator being a polynomial of the Chern-Simons operator. For \(n\)-th order theory of this type, we provide a general receipt for constructing \(n\)-parameter family of conserved second rank tensors. The family includes the canonical energy-momentum tensor, which is unbounded, while there are bounded conserved tensors that provide classical stability of the system for certain combinations of the parameters in the Lagrangian. We also demonstrate the examples of consistent interactions which are compatible with the requirement of stability.
ISSN:2331-8422
DOI:10.48550/arxiv.1510.02007