A Unified Scheme for Modular Invariant Partition Functions of WZW Models

Details A Unified Scheme for Modular Invariant Partition Functions of WZW Models A Unified Scheme for Modular Invariant Partition Functions of WZW Models

1993-06-16

arxiv.org/abs/hep-th/9306072v2

Int.J.Mod.Phys. A9 (1994) 2707-2740

Physics

High Energy Physics

High Energy Physics - Theory

30 page ,SUTDP/11/93/72 Department of Physics, Sharif University of Technology

Scientific paper

10.1142/S0217751X94001102

We introuduce a unified method which can be applied to any WZW model at arbitrary level to search systematically for modular invariant physical partition functions. Our method is based essentially on modding out a known theory on group manifold $G$ by a discrete group $\Gamma$. We apply our method to $\widehat {su(n)}$ with $n=2,3,4,5,6$, and to $\widehat {g_2}$ models, and obtain all the known partition functions and some new ones, and give explicit expressions for all of them.

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