Grassmannian Sigma Models and Topological-Antitopological Fusion

Abstract

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 $t{t}^{\ast }$ equations become tractable. The solution for the metric of G(k,N) can then be described in terms of the metric for the $C{P}^{N-1}$ models. The IR expansion helps clarify the picture of the vacua and gives the soliton numbers and masses. We also show that the $t{t}^{\ast }$ equation for G(k,N) in the large N limit is solvable, for any k.

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

References in corpus (7)

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• Ising Model and $N=2$ Supersymmetric Theories
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Cited by in corpus (4)

• Composite Non-Abelian Strings with Grassmannian Models on the World Sheet
• General Composite Non-Abelian Strings and Flag Manifold Sigma Models
• On Grassmannian Heterotic Sigma Model
• Supersymmetric Sigma Models on Toric Varieties: A Test Case