A k Gauge Fixed Type IIB Superstring Action on AdS_{5} X S_{5}
  We describe the type IIB supergravity background on AdS_{5} X S_{5} using the potentials of AdS_{5|4} X S_{5} and we use the supersolvable algebra associated to AdS_{5|4} to compute the k gauge fixed type IIB string action. 
I. Pesando