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), and thus can be encoded in a ``boundary'' superpote...

Descripción completa

Detalles Bibliográficos
Autores principales: Lerche, W., Walcher, Johannes
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(02)00019-6
http://cds.cern.ch/record/476888
_version_ 1780896692474740736
author Lerche, W.
Walcher, Johannes
author_facet Lerche, W.
Walcher, Johannes
author_sort Lerche, W.
collection CERN
description 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. 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.
id cern-476888
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
record_format invenio
spelling cern-4768882023-03-15T19:10:56Zdoi:10.1016/S0550-3213(02)00019-6http://cds.cern.ch/record/476888engLerche, W.Walcher, JohannesBoundary Rings and N=2 Coset ModelsParticle Physics - TheoryWe 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. 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.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.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, 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.hep-th/0011107CERN-TH-2000-335ETH-TH-00-11CERN-TH-2000-335ETH-TH-2000-11oai:cds.cern.ch:4768882000-11-13
spellingShingle Particle Physics - Theory
Lerche, W.
Walcher, Johannes
Boundary Rings and N=2 Coset Models
title Boundary Rings and N=2 Coset Models
title_full Boundary Rings and N=2 Coset Models
title_fullStr Boundary Rings and N=2 Coset Models
title_full_unstemmed Boundary Rings and N=2 Coset Models
title_short Boundary Rings and N=2 Coset Models
title_sort boundary rings and n=2 coset models
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(02)00019-6
http://cds.cern.ch/record/476888
work_keys_str_mv AT lerchew boundaryringsandn2cosetmodels
AT walcherjohannes boundaryringsandn2cosetmodels

Ejemplares similares