The group approach to AdS space propagators: a fast algorithm

In this paper we show how the method of [4] for the calculation of two-point functions in (d + 1)-dimensional AdS space can be simplified. This results in an algorithm for the evaluation of the two-point functions as linear combinations of Legendre functions of the second kind. This algorithm can be easily implemented on a computer. For the sake of illustration, we displayed the results for the case of symmetric traceless tensor fields with rank up to l = 4.