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A new spin-2 self-dual model in $D=2+1$ · Around

2009

A new spin-2 self-dual model in $D=2+1$

Dalmazi, D., Mendonca, E. L.

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There are three self-dual models of massive particles of helicity +2 (or -2) in $D=2+1$.

Each model is of first, second, and third-order in derivatives.
Here we derive a new self-dual model of fourth-order, $\cL {SD}^{(4)}$, which follows from the third-order model (linearized topologically massive gravity) via Noether embedment of the linearized Weyl symmetry.
In fact, each self-dual model can be obtained from the previous one $ \cL {SD}^{(i)} \to \cL {SD}^{(i+1)}, i=1,2,3$ by the Noether embedment of an appropriate gauge symmetry, culminating in $\cL {SD}^{(4)}$.

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D. Dalmazi, “Unitarity of spin-2 theories with linearized Weyl symmetry in D = 2 + 1 D=2+1 ”, arXiv:0908.1954
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