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

2006/11/14 by Hubert Saleur, Volker Schomerus · 6 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.02.031

published as Nucl.Phys.B775:312-340,2007 · 38 pages, 2 figures

arxiv created 2006/11/14 · openalex publication_date 2007/03/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

Motivated 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 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) 3-3 super-spin chain. Some general conclusions applicable to other WZNW models (in particular the case k=-1/2) are also drawn.

Citations

• The definite integral ∫ _{- ∞} ^∞ \tfrace^{ax2 + bx} e^ax + dda and the analytic theory of numbersand the analytic theory of numbers

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