be quantized. Applications A-model topological string theory amplitudes are used to compute prepotentials in N=2 supersymmetric gauge theories in four and five dimensions. The amplitudes of the topological B-model, with fluxes and or branes, are used to compute superpotentials in N=1 supersymmetric gauge theories in four dimensions. Perturbative A model calculations also count BPS states of spinning black holes in five dimensions. See also Quantum topology Topological defect Topological entropy in physics Topological order Topological quantum field theory Topological quantum number Introduction to M-theory References Topological string theory on arxiv.org Mathematical physics String theory