Note on antisymmetric spin-tensors
| dc.creator | Zinoviev, Yu. M. | |
| dc.date | 2009-03-02 | |
| dc.date.accessioned | 2026-07-07T13:04:55Z | |
| dc.date.available | 2026-07-07T13:04:55Z | |
| dc.description | It was known for a long time that in d = 4 dimensions it is impossible to construct the Lagrangian for antisymmetric second rank spin-tensor that will be invariant under the gauge transformations with unconstrained spin-vector parameter. But recently a paper arXiv:0902.1471 appeared where gauge invariant Lagrangians for antisymmetric spin-tensors of arbitrary rank n in d > 2n were constructed using powerful BRST approach. To clarify apparent contradiction, in this note we carry a direct independent analysis of the most general first order Lagrangian for the massless antisymmetric spin-tensor of second rank. Our analysis shows that gauge invariant Lagrangian does exist but in d > 4 dimensions only, while in d = 4 this Lagrangian becomes identically zero. As a byproduct, we obtain a very simple and convenient form of this massless Lagrangian that makes deformation to AdS space and/or massive case a simple task as we explicitly show here. Moreover, this simple form admits natural and straightforward generalization on the case of massive antisymmetric spin-tensors of rank n for d > 2n. | |
| dc.description | 7 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0903.0262 | |
| dc.identifier | http://arxiv.org/abs/0903.0262 | |
| dc.identifier | JHEP 0904:035,2009 | |
| dc.identifier | doi:10.1088/1126-6708/2009/04/035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227334 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Note on antisymmetric spin-tensors | |
| dc.type | text |