JOURNAL OF HIGH ENERGY PHYSICS, no.3, 2013 (SCI-Expanded)
Based on superconformal tensor calculus in five dimensions, we construct the supersymmetric completion of Gauss-Bonnet combination. We study the vacuum solutions with AdS(2) x S-3 and AdS(3) x S-2 structures. We also analyze the spectrum around a maximally supersymmetric Minkowski(5).