Absorption Cross Section of Smeared D3-Brane on a Circle

The evaluation of the absorption cross section of a massless scalar field propagating on a non-extremal black D3-brane smeared on a circle is considered. The solution to the scalar field equation of motion at high temperature is obtained in terms of the parameters $\lambda=3\omega/4\pi T$ and $k$, which denote the frequency and the momentum along the circle respectively while $T$ denotes the temperature of the black brane. Based on a perturbative scheme, higher order temperature corrections to the scalar absorption cross section are computed. Further, interesting analogies with the cross section of known black branes solutions are discussed.