The four-point correlations of all primary operators of the d = 2 conformally invariant SU(2) σ-model with Wess-Zumino term

Logarithmic operators and dynamical extension of the symmetry group in the bosonic SU(2)0 and SUSY SU(2)2 WZNW models

“…They found such behaviour for the WZNW model on the supergroup GL (1,1). Later the logarithms which once had been thought to be excluded altogether to preserve locality [4], have been found in a multitude of other models such as the gravitationally dressed CFTs [5], c = −2 and more general c p,1 models [2] [6] [7] [8], the critical disordered models [1] [9], and might play a role in the study of critical polymers and percolation [10] [6] [7] [11] and 2D-magnetohydrodynamic turbulence [12].…”

Quantum matrix algebra for theSU(n) WZNW model

“…(In the n = 2 case [66,20,61] this can be done even for four general isospins, due to the simple rules for tensor multiplication in the SU(2) representation ring. )…”

“…A U q tensor T α 1 ...αs is said to be q-symmetric if for any pair of adjacent indices α β we have 20) where q ǫ αβ is defined in (1.28b). A tensor F α 1 ...αs is q-skewsymmetric if it is an eigenvector of the antisymmetrizer (1.28b):…”

The origin of multiplets of chiral fields inSU(2)kat rational level

“…This involves primary fields with discrete spin 2j ∈ Z in the range 0 ≤ j ≤ k/2 [3,4]. The solutions to the KZ equations and correlation functions for these fields were studied in [4,5]. Using these fields one may construct a closed set of fusion rules and a local modular invariant CFT.…”