Abstract
Motivated by a careful analysis of the Laplacian on the supergroup SU(2 vertical stroke 1) we formulate a proposal for the state space of the SU(2 vertical stroke 1) WZNW model. We then use properties of sl(2 vertical stroke 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 vertical stroke 1)3- anti 3 super-spin chain. Some general conclusions applicable to other WZNW models (in particular the case k=-1/2) are also drawn. (orig.)
Saleur, H;
[1]
Schomerus, V
[2]
- CEA Centre d'Etudes de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
- Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Citation Formats
Saleur, H, and Schomerus, V.
On the SU(2 vertical stroke 1) WZNW model and its statistical mechanics applications.
Germany: N. p.,
2006.
Web.
Saleur, H, & Schomerus, V.
On the SU(2 vertical stroke 1) WZNW model and its statistical mechanics applications.
Germany.
Saleur, H, and Schomerus, V.
2006.
"On the SU(2 vertical stroke 1) WZNW model and its statistical mechanics applications."
Germany.
@misc{etde_20834365,
title = {On the SU(2 vertical stroke 1) WZNW model and its statistical mechanics applications}
author = {Saleur, H, and Schomerus, V}
abstractNote = {Motivated by a careful analysis of the Laplacian on the supergroup SU(2 vertical stroke 1) we formulate a proposal for the state space of the SU(2 vertical stroke 1) WZNW model. We then use properties of sl(2 vertical stroke 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 vertical stroke 1)3- anti 3 super-spin chain. Some general conclusions applicable to other WZNW models (in particular the case k=-1/2) are also drawn. (orig.)}
place = {Germany}
year = {2006}
month = {Nov}
}
title = {On the SU(2 vertical stroke 1) WZNW model and its statistical mechanics applications}
author = {Saleur, H, and Schomerus, V}
abstractNote = {Motivated by a careful analysis of the Laplacian on the supergroup SU(2 vertical stroke 1) we formulate a proposal for the state space of the SU(2 vertical stroke 1) WZNW model. We then use properties of sl(2 vertical stroke 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 vertical stroke 1)3- anti 3 super-spin chain. Some general conclusions applicable to other WZNW models (in particular the case k=-1/2) are also drawn. (orig.)}
place = {Germany}
year = {2006}
month = {Nov}
}