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

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

1993-05-13

arxiv.org/abs/hep-th/9305058v1

Mod. Phys. Lett. A9 (1994) 381

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

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.

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