present in the appendix more details of the melting of charmonium states. Appendix A shows more details of the temperature dependence of the thermal spectral functions and appendix B presents an analysis of the high frequency behavior.

 Heavy Vector mesons in the vacuum 
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The holographic model proposed in ref. [@Braga:2015jca] contains two dimensionful parameters. One coming from a soft wall background and the other from a position in AdS space where the gauge theory correlators are calculated. The model leads to decay constants for heavy vector mesons decreasing with the radial excitation level, in agreement with the results obtained from experimental data.

One considers a vector field $V_m = (V_\mu,V_z)\,$ ($\mu = 0,1,2,3$) playing the role of the supergravity dual of the gauge theory current $ J^\mu = \bar{q}\gamma^\mu q \,$. The field lives in a five dimensional soft wall background governed by the action $$I \,=\, \int d^4x dz \, \sqrt{-g} \,\, e^{- \Phi (z)  } \, \left\{  - \frac{1}{4 g_5^2} F_{mn} F^{mn}
\,  \right\} \,\,, 
\label{vectorfieldactionzeroptemp}$$ where $F_{mn} = \partial_mV_n - \partial_n V_m$ and $\Phi = k^2z^2   $ is the soft wall background, with the parameter $k$ playng the role of an IR, or mass, energy scale. 