Superstring sigma models from spin chains: the SU(1,1|1) case

We derive the coherent state representation of the integrable spin chain Hamiltonian with non-compact supersymmetry group $G=$SU$(1,1|1)$. By passing to the continuous limit, we find a spin chain sigma model describing a string moving on the supercoset $G/H$, $H$ being the stabilizer group. The acti...

Descripción completa

Detalles Bibliográficos
Autores principales: Bellucci, S, Casteill, P Y, Morales, J F
Lenguaje:eng
Publicado: 2005
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2005.09.012
http://cds.cern.ch/record/828519
_version_ 1780905759938183168
author Bellucci, S
Casteill, P Y
Morales, J F
author_facet Bellucci, S
Casteill, P Y
Morales, J F
author_sort Bellucci, S
collection CERN
description We derive the coherent state representation of the integrable spin chain Hamiltonian with non-compact supersymmetry group $G=$SU$(1,1|1)$. By passing to the continuous limit, we find a spin chain sigma model describing a string moving on the supercoset $G/H$, $H$ being the stabilizer group. The action is written in a manifestly $G$-invariant form in terms of the Cartan forms and the string coordinates in the supercoset. The spin chain sigma model is shown to agree with that following from the Green-Schwarz action describing two-charged string spinning on AdS$_5\times S^5$.
id cern-828519
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
record_format invenio
spelling cern-8285192019-09-30T06:29:59Zdoi:10.1016/j.nuclphysb.2005.09.012http://cds.cern.ch/record/828519engBellucci, SCasteill, P YMorales, J FSuperstring sigma models from spin chains: the SU(1,1|1) caseParticle Physics - TheoryWe derive the coherent state representation of the integrable spin chain Hamiltonian with non-compact supersymmetry group $G=$SU$(1,1|1)$. By passing to the continuous limit, we find a spin chain sigma model describing a string moving on the supercoset $G/H$, $H$ being the stabilizer group. The action is written in a manifestly $G$-invariant form in terms of the Cartan forms and the string coordinates in the supercoset. The spin chain sigma model is shown to agree with that following from the Green-Schwarz action describing two-charged string spinning on AdS$_5\times S^5$.hep-th/0503159oai:cds.cern.ch:8285192005-03-21
spellingShingle Particle Physics - Theory
Bellucci, S
Casteill, P Y
Morales, J F
Superstring sigma models from spin chains: the SU(1,1|1) case
title Superstring sigma models from spin chains: the SU(1,1|1) case
title_full Superstring sigma models from spin chains: the SU(1,1|1) case
title_fullStr Superstring sigma models from spin chains: the SU(1,1|1) case
title_full_unstemmed Superstring sigma models from spin chains: the SU(1,1|1) case
title_short Superstring sigma models from spin chains: the SU(1,1|1) case
title_sort superstring sigma models from spin chains: the su(1,1|1) case
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.nuclphysb.2005.09.012
http://cds.cern.ch/record/828519
work_keys_str_mv AT belluccis superstringsigmamodelsfromspinchainsthesu111case
AT casteillpy superstringsigmamodelsfromspinchainsthesu111case
AT moralesjf superstringsigmamodelsfromspinchainsthesu111case

Ejemplares similares