English

Boundary Rings and N=2 Coset Models

High Energy Physics - Theory 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0011107,
  title  = {Boundary Rings and N=2 Coset Models},
  author = {W. Lerche and J. Walcher},
  journal= {arXiv preprint arXiv:hep-th/0011107},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T15:00:58.564Z