Some Correlators of $SU(3{)}_3$ WZW Models on Higher-Genus Riemann Surfaces

Abstract

Using the conformal embedding on the torus, we can express some characters of $SU(3{)}_3$ in terms of $SO(8{)}_1$ characters. Then with the help of crossing symmetry, modular transformation and factorization properties of Green functions, we will calculate a class of correlators of $SU(3{)}_3$ on arbitrary Riemann surfaces. This method can apply to all $k>1$ WZW models which can be conformally embedded in some $k=1$ WZW models.

arXiv comment19 pages

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