Boundary Rings and N=2 Coset Models

Details Boundary Rings and N=2 Coset Models Boundary Rings and N=2 Coset Models

2000-11-13

arxiv.org/abs/hep-th/0011107v2

Nucl.Phys.B625:97-127,2002

Physics

High Energy Physics

High Energy Physics - Theory

40p, 5 figs, refs added, typos and minor errors corrected

Scientific paper

10.1016/S0550-3213(02)00019-6

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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