Grassmannian σ-models and topological-anti-topological fusion Original Research Article

We study the topological-anti-topological fusion equations for supersymmetric σ-models on Grassmannian manifolds G(k, N). We find a basis in which the metric becomes diagonal and the tt∗ equations become tractable. The solution for the metric of G(k, N) can then be described in terms of the metric for the CPN−1 models. The IR expansion helps clarify the picture of the vacua and gives the soliton numbers and masses. We also show that the tt∗ equation for G(k, N) in the large N limit is solvable, for any k.