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...

Full description

Saved in:
Bibliographic Details
Main Authors: Lerche, Wolfgang (Author) , Walcher, Johannes (Author)
Format: Article (Journal)
Language:English
Published: 24 January 2002
In: Nuclear physics. B, Particle physics
Year: 2002, Volume: 625, Issue: 1, Pages: 97-127
ISSN:1873-1562
DOI:10.1016/S0550-3213(02)00019-6
Online Access: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
Get full text
Author Notes:W. Lerche, J. Walcher
Description
Summary: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.
Item Description:Gesehen am 15.02.2018
Physical Description:Online Resource
ISSN:1873-1562
DOI:10.1016/S0550-3213(02)00019-6