BF Theories and Group-Level Duality
نویسندگان
چکیده
It is known that the partition function and correlators of the two-dimensional topological field theory GK(N)/GK(N) on the Riemann surface Σg,s is given by Verlinde numbers, dim(Vg,s,K) and that the large K limit of dim(Vg,s,K) gives Vol(Ms), the volume of the moduli space of flat connections of gauge group G(N) on Σg,s, up to a power of K. Given this relationship, we complete the computation of Vol(Ms) using only algebraic results from conformal field theory. The group-level duality of GK(N) is used to show that if G(N) is a classical group, then lim N→∞ GK(N)/GK(N) is a BF theory with gauge group G(K). Therefore this limit computes Vol(Ms), the volume of the moduli space of flat connections of gauge group G(K).
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