Published November 2006 | Version v1
Report Open

On the SU(2 vertical stroke 1) WZNW model and its statistical mechanics applications

Creators

  • 1. University of Southern California, Los Angeles, CA (United States). Dept. of Physics
  • 2. CEA Centre d'Etudes de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
  • 3. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)

Description

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.)

Availability note (English)

Available from INIS in electronic form

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Additional details

Publishing Information

Imprint Pagination
39 p.
ISSN
0418-9833
Report number
DESY--06-201

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
38011785
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ENERGY LEVELS; GRADED LIE GROUPS; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; NONLINEAR PROBLEMS; PARTITION FUNCTIONS; SIGMA MODEL; SL GROUPS; STATISTICAL MECHANICS; SU GROUPS; SUPERSYMMETRY
Descriptors DEC
BANACH SPACE; BOSON-EXCHANGE MODELS; FUNCTIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MECHANICS; PARTICLE MODELS; PERIPHERAL MODELS; SPACE; SYMMETRY; SYMMETRY GROUPS

Optional Information

Secondary number(s)
SPhT-T--06-143; HEP-TH--0611147