Boundary Rings and N=2 Coset Models

Abstract

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.

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

References in corpus (1)

• A new kind of McKay correspondence from non-Abelian gauge theories

Cited by in corpus (12)

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• A new kind of McKay correspondence from non-Abelian gauge theories
• D-branes in N=2 coset models and twisted equivariant K-theory
• K-theoretical boundary rings in N=2 coset models
• BRST construction of D-branes in SU(2) WZW model
• Comments on D-branes in Kazama-Suzuki models and Landau-Ginzburg theories
• Twisted boundary states in Kazama-Suzuki models
• D-branes and matrix factorisations in supersymmetric coset models
• Supersymmetric WZW models and twisted K-theory of SO(3)