Parity singlets and doublets of massive spin-3 particles in $D=2+1$ via Nother gauge embedding

Abstract

Here we demonstrate that the sixth order (in derivatives) spin-3 self-dual model can be obtained from the fifth order self-dual model via a Noether Gauge Embedding (NGE) of longitudinal Weyl transformations ${\eta }_{(\mu \nu }{\partial }_{\alpha )}\Phi$. In the case of doublet models we can show that the massive spin-3 Singh-Hagen theory is dual to a fourth and to a sixth order theory, via a double round of the NGE procedure by imposing traceless longitudinal (reparametrization-like) symmetries ${\partial }_{(\mu }{\tilde{\xi }}_{\nu \alpha )}$ in the first round and transverse Weyl transformations ${\eta }_{(\mu \nu }{\psi }_{\alpha )}^T$ in the second one. Our procedure automatically furnishes the dual maps between the corresponding fields.

11 pages, 0 figures

References in corpus (2)

• A new spin-2 self-dual model in $D=2+1$
• Dual descriptions of massive spin-3 particles in $D=2+1$ via Noether gauge embedment