On the SU(2|1) WZW model and its statistical mechanics applications

dc.creatorSaleur, Hubert
dc.creatorSchomerus, Volker
dc.date2006-11-14
dc.date.accessioned2026-07-07T11:23:07Z
dc.date.available2026-07-07T11:23:07Z
dc.descriptionMotivated by a careful analysis of the Laplacian on the supergroup $SU(2|1)$ we formulate a proposal for the state space of the $SU(2|1)$ WZNW model. We then use properties of $\hat{sl}(2|1)$ characters to compute the partition function of the theory. In the special case of level $k=1$ the latter is found to agree with the properly regularized partition function for the continuum limit of the integrable $sl(2|1) 3-\bar{3}$ super-spin chain. Some general conclusions applicable to other WZNW models (in particular the case $k=-1/2$) are also drawn.
dc.description38 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0611147
dc.identifierhttp://arxiv.org/abs/hep-th/0611147
dc.identifierNucl.Phys.B775:312-340,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.02.031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194788
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.titleOn the SU(2|1) WZW model and its statistical mechanics applications
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