Grassmannian Sigma Models and Topological-Antitopological Fusion

Details Grassmannian Sigma Models and Topological-Antitopological Fusion Grassmannian Sigma Models and Topological-Antitopological Fusion

1994-09-27

arxiv.org/abs/hep-th/9409166v1

Nucl.Phys. B439 (1995) 421-440

Physics

High Energy Physics

High Energy Physics - Theory

20 pages (LaTeX), OUTP-94-22P

Scientific paper

10.1016/0550-3213(95)95691-8

We study the topological-antitopological fusion equations for supersymmetric sigma 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 $CP^{N-1}$ 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.

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