Boundary rings and N=2 coset models
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), which in turn can be encoded in a “boundary” superpotential w...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
24 January 2002
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| In: |
Nuclear physics. B, Particle physics
Year: 2002, Jahrgang: 625, Heft: 1, Pages: 97-127 |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/S0550-3213(02)00019-6 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/S0550-3213(02)00019-6 Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/S0550321302000196 
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| Verfasserangaben: | W. Lerche, J. Walcher |
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| 520 | |a 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), which in turn 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, Zn+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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