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arxiv: hep-th/0011107 · v2 · submitted 2000-11-13 · ✦ hep-th

Boundary Rings and N=2 Coset Models

classification ✦ hep-th
keywords boundarystatescosetfindintersectioninvestigatemodelsquiver
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We investigate boundary states of N=2 coset models based on Grassmannians Gr(n,n+k), and find that the underlying intersection geometry is given by the fusion ring of U(n). This is isomorphic to the quantum cohomology ring of Gr(n,n+k+1), and thus can be encoded in a ``boundary'' superpotential whose critical points correspond to the boundary states. In this way the intersection properties can be represented in terms of a soliton graph that forms a generalized, Z_{n+k+1} symmetric McKay quiver. We investigate the spectrum of bound states and find that the rational boundary CFT produces only a small subset of the possible quiver representations.

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