Abstract

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

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