Master actions for massive spin-3 particles in D=2+1

preprint2015arXivOpen access

Abstract

We present here a relationship among massive self-dual models for spin-3 particles in D=2+1D=2+1 via the master action procedure. Starting with a first order model (in derivatives) SSD(1)S_{SD(1)} we have constructed a master action which interpolates among a sequence of four self-dual models SSD(i)S_{SD(i)} where i=1,2,3,4i=1,2,3,4. By analyzing the particle content of mixing terms, we give additional arguments that explain why it is apparently impossible to jump from the fourth order model to a higher order model. We have also analyzed similarities and differences between the fourth order KK-term in the spin-2 case and the analogous fourth order term in the spin-3 context.

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