New gauge bosons and logarithmic corrections in an exact AdS$_3$

We calculate the absorption cross section by studying the spin--dependent wave equation in three-dimensional anti-de Sitter space(AdS$_3$). Here the AdS/CFT correspondence is used. It turns out that the new gauge bosons coupled to (2,0) and (0,2) operators on the boundary at infinity receive logarithmic corrections. This shows that the gauge bosons may play the role of singletons in AdS$_5$. On the other hand, test fields including the intermediate scalars($\eta, \xi$) and fixed scalar($\lambda$) do not receive any logarithmic correction in the first-order approximation.