TVVandTTPcouplings and related strong and electromagnetic decays of tensor mesons

Equations for $\mathrm{TVV}$ and $\mathrm{TTP}$ couplings are derived from dual amplitudes for the processes $P+V\to P+V$ and $P+T\to P+P$. The couplings are expressed in terms of other mesonic couplings, known from experiment. With the aid of these couplings we calculate the decay rates of $A_2\to \omega \pi \pi$, $f\to \rho \pi \pi$, $K^{**}\to K^{*}\pi \pi$ and the electromagnetic decays $A_2$, $f\to V\gamma$,, and $\gamma \gamma$.. The calculated rates for $A_2\to \omega \pi \pi$ and $f\to \rho \pi \pi$ are smaller (by about a factor of 4) than the average experimental data. This discrepancy is analyzed in terms of a consistent picture for all the decays studied in this paper.